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• [121]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990865

  Diening, Lars, Kim, Kyeongbae, Lee, Ho-Sik, and Nowak, Simon Noah. “Higher differentiability for the fractional p-Laplacian”. Mathematische Annalen 391 (2025): 5631–5693.

  PUB | DOI | WoS | arXiv
   
• [120]
  

  2025 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 3002097

  Diening, Lars, Gehring, Lukas, and Storn, Johannes. “Adaptive Mesh Refinement for Arbitrary Initial Triangulations”. Foundations of Computational Mathematics (2025).

  PUB | DOI | WoS
   
• [119]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2993038

  Diening, Lars, Kim, Kyeongbae, Lee, Ho-Sik, and Nowak, Simon Noah. “Gradient estimates for parabolic nonlinear nonlocal equations”. Calculus of Variations and Partial Differential Equations 64 (2025): 98.

  PUB | DOI | WoS | arXiv
   
• [118]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969593

  Diening, Lars, and Nowak, Simon Noah. “Calderón-Zygmund estimates for the fractional p-Laplacian”. Annals of PDE 11 (2025): 6.

  PUB | PDF | DOI | WoS | arXiv
   
• [117]
  

  2025 | Preprint | PUB-ID: 3000940

  Diening, Lars, Stevenson, Rob, and Storn, Johannes. “A quasi-optimal space-time FEM with local mesh refinements for parabolic problems”. arXiv:2502.13655 (2025).

  PUB | DOI | arXiv
   
• [116]
  

  2025 | Preprint | PUB-ID: 3000415

  Diening, Lars, and Storn, Johannes. “Guaranteed upper bounds for iteration errors and modified Kacanov schemes via discrete duality”. arXiv:2501.16850 (2025).

  PUB | DOI | arXiv
   
• [115]
  

  2025 | Preprint | PUB-ID: 3000866

  Adamadze, Daviti, Diening, Lars, and Kopaliani, Tengiz. “Maximal operator on variable exponent spaces”. arXiv:2502.10313 (2025).

  PUB | DOI | arXiv
   
• [114]
  

  2025 | Preprint | PUB-ID: 3000895

  Khripunova Balci, Anna, Behn, Linus, Diening, Lars, and Storn, Johannes. “Examples of $p$-harmonic maps”. arXiv:2502.12059 (2025).

  PUB | DOI | arXiv
   
• [113]
  

  2025 | Preprint | PUB-ID: 3000392

  Diening, Lars, Hirn, Adrian, Kreuzer, Christian, and Zanotti, Pietro. “Pressure robust finite element discretizations of the nonlinear Stokes equations”. arXiv:2501.15954 (2025).

  PUB | arXiv
   
• [112]
  

  2024 | Preprint | PUB-ID: 2988636

  Behn, Linus, Diening, Lars, Nowak, Simon Noah, and Scharle, Toni. “The De Giorgi method for local and nonlocal systems”. arXiv: 2404.04063 (2024).

  PUB | DOI | arXiv
   
• [111]
  

  2024 | Preprint | PUB-ID: 2992691

  Behn, Linus, Diening, Lars, Ok, Jihoon, and Rolfes, Julian. “Nonlocal equations with degenerate weights”. arXiv:2409.11829 (2024).

  PUB | DOI | arXiv
   
• [110]
  

  2024 | Preprint | Angenommen | PUB-ID: 2986868

  Diening, Lars, Kim, Kyeongbae, Lee, Ho-Sik, and Nowak, Simon Noah. “Nonlinear nonlocal potential theory at the gradient level”. arXiv: 2402.04809, to appear in Journal of the European Mathematical Society (Accepted).

  PUB | DOI | arXiv
   
• [109]
  

  2024 | Preprint | PUB-ID: 3000395

  Diening, Lars, Storn, Johannes, and Tscherpel, Tabea. “Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation”. arXiv:2411.09485 (2024).

  PUB | arXiv
   
• [108]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2955042

  Diening, Lars, and Gmeineder, Franz. “Sharp Trace and Korn Inequalities for Differential Operators”. Potential Analysis (2024).

  PUB | DOI | WoS | arXiv
   
• [107]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2986005

  Khripunova Balci, Anna, Diening, Lars, and Salgado, Abner J. “Numerical approximation of variational problems with orthotropic growth”. Numerische Mathematik (2024).

  PUB | DOI | WoS | arXiv
   
• [106]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990408

  Cianchi, Andrea, and Diening, Lars. “Sobolev embeddings in Musielak-Orlicz spaces”. Advances in Mathematics 447 (2024): 109679.

  PUB | DOI | WoS
   
• [105]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990341

  Diening, Lars, Rolfes, Julian, and Salgado, Abner J. “Pointwise Gradient Estimate of the Ritz Projection”. SIAM Journal on Numerical Analysis 62.3 (2024): 1212-1225.

  PUB | DOI | WoS | arXiv
   
• [104]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984029

  Behn, Linus, and Diening, Lars. “Global regularity for nonlinear systems with symmetric gradients”. Calculus of Variations and Partial Differential Equations 63.3 (2024): 60.

  PUB | DOI | WoS | arXiv | Preprint
   
• [103]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984527

  Khripunova Balci, Anna, Diening, Lars, and Storn, Johannes. “Relaxed Kačanov Scheme for the p-Laplacian with Large Exponent”. SIAM Journal on Numerical Analysis 61.6 (2023): 2775-2794.

  PUB | DOI | WoS | arXiv | Preprint
   
• [102]
  

  2023 | Preprint | PUB-ID: 2986004

  Khripunova Balci, Anna, Diening, Lars, and Surnachev, Mikhail. “Scalar minimizers with maximal singular sets and lack of Meyers property”. arXiv:2312.15772 (2023).

  PUB | arXiv
   
• [101]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960477

  Khripunova Balci, Anna, Byun, Sun-Sig, Diening, Lars, and Lee, Ho-Sik. “Global Maximal Regularity for Equations with Degenerate Weights”. Journal de Mathématiques Pures et Appliquées 177 (2023): 484-530.

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [100]
  

  2023 | Preprint | PUB-ID: 2979131

  Diening, Lars, Storn, Johannes, and Tscherpel, Tabea. “Grading of Triangulations Generated by Bisection”. arXiv:2305.05742 (2023).

  PUB | arXiv
   
• [99]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960128

  Diening, Lars, Storn, Johannes, and Tscherpel, Tabea. “Interpolation Operator on negative Sobolev Spaces”. Mathematics of Computation (2023).

  PUB | DOI | WoS | arXiv | Preprint
   
• [98]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2968491

  Diening, Lars, Karlovych, Oleksiy, and Shargorodsky, Eugene. “On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded”. Georgian Mathematical Journal (2023).

  PUB | DOI | Download (ext.) | WoS
   
• [97]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967853

  Diening, Lars, Hofmanová, Martina, and Wichmann, Jörn. “An averaged space–time discretization of the stochastic p-Laplace system”. Numerische Mathematik 153 (2022).

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [96]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960478

  Diening, Lars, Lee, Mikyoung, and Ok, Jihoon. “Parabolic weighted Sobolev-Poincaré type inequalities”. Nonlinear Analysis : Theory, Methods & Applications 218 (2022): 112772.

  PUB | DOI | Download (ext.) | WoS | arXiv
   
• [95]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962489

  Khripunova Balci, Anna, Diening, Lars, Giova, Raffaella, and Passarelli di Napoli, Antonia. “Elliptic Equations with Degenerate Weights”. SIAM Journal on Mathematical Analysis 54.2 (2022): 2373-2412.

  PUB | DOI | WoS | arXiv
   
• [94]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2959661

  Diening, Lars, and Storn, Johannes. “A space-time DPG method for the heat equation”. Computers & Mathematics with Applications 105.1 (2022): 41-53.

  PUB | DOI | WoS | arXiv
   
• [93]
  

  2022 | Preprint | PUB-ID: 2962502

  Diening, Lars, Hofmanová, Martina, and Wichmann, Jörn. “An averaged space-time discretization of the stochastic $p$-Laplace system”. arXiv:2204.08929 (2022).

  PUB | arXiv
   
• [92]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962093

  Diening, Lars, Karlovych, Oleksiy, and Shargorodsky, Eugene. “On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded”. Georgian Mathematical Journal (2022).

  PUB | DOI | WoS
   
• [91]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957935

  Diening, Lars, Storn, Johannes, and Tscherpel, Tabea. “On the Sobolev and $L^p$-Stability of the $L^2$-Projection”. SIAM Journal on Numerical Analysis 59.5 (2021): 2571-2607.

  PUB | DOI | WoS | arXiv
   
• [90]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954328

  Diening, Lars, Storn, Johannes, and Tscherpel, Tabea. “Fortin Operator for the Taylor-Hood Element”. Numerische Mathematik 150 (2021): 671-689.

  PUB | PDF | DOI | WoS | arXiv
   
• [89]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958034

  Breit, Dominic, Diening, Lars, Storn, Johannes, and Wichmann, Jörn. “The parabolic $p$-Laplacian with fractional differentiability”. IMA Journal of Numerical Analysis 41.3 (2021): 2110-2138.

  PUB | DOI | WoS
   
• [88]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960443

  Breit, Dominic, Diening, Lars, and Gmeineder, Franz. “The Lipschitz Truncation of Functions of Bounded Variation”. Indiana University Mathematics Journal 70.6 (2021): 2237-2260.

  PUB | DOI | WoS
   
• [87]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956976

  Khripunova Balci, Anna, Cianchi, Andrea, Diening, Lars, and Maz’ya, Vladimir. “A pointwise differential inequality and second-order regularity for nonlinear elliptic systems”. Mathematische Annalen (2021).

  PUB | DOI | WoS | arXiv
   
• [86]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948279

  Khripunova Balci, Anna, Diening, Lars, and Surnachev, Mikhail. “New Examples on Lavrentiev Gap Using Fractals”. Calculus of Variations and Partial Differential Equations 59.5 (2020): 180.

  PUB | PDF | DOI | WoS | arXiv
   
• [85]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948394

  Diening, Lars, Scharle, Toni, and Süli, Endre. “Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations”. IMA Journal of Numerical Analysis 41.3 (2020): 1846-1898.

  PUB | DOI | WoS | arXiv
   
• [84]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2951591

  Diening, Lars, and Kreuzer, Christian. “On the Threshold Condition for Dörfler Marking”. Computational Methods in Applied Mathematics (2020).

  PUB | DOI | WoS | arXiv
   
• [83]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948395

  Diening, Lars, and Gmeineder, Franz. “Continuity points via Riesz potentials for $\mathbb{C}$-elliptic operators”. The Quarterly Journal of Mathematics 71.4 (2020): 1201-1218.

  PUB | DOI | WoS | arXiv
   
• [82]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2938742

  Khripunova Balci, Anna, Diening, Lars, and Weimar, Markus. “Higher order Calderon-Zygmund estimates for the p-Laplace equation”. Journal of Differential Equations 268.2 (2020): 590-635.

  PUB | DOI | WoS | arXiv
   
• [81]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941879

  Diening, Lars, Fornasier, M., Tomasi, R., and Wank, M. “A Relaxed Kaanov iteration for the p-poisson problem”. Numerische Mathematik 145 (2020): 1-34.

  PUB | PDF | DOI | WoS
   
• [80]
  

  2020 | Preprint | PUB-ID: 2943289

  Breit, Dominic, Diening, Lars, Storn, Johannes, and Wichmann, Jörn. “The parabolic p-Laplacian with fractional differentiability”. (2020).

  PUB | PDF | arXiv
   
• [79]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942742

  Breit, Dominic, Diening, Lars, and Gmeineder, Franz. “ON THE TRACE OPERATOR FOR FUNCTIONS OF BOUNDED A-VARIATION”. ANALYSIS & PDE 13.2 (2020): 559-594.

  PUB | DOI | WoS
   
• [78]
  

  2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2948397

  Breit, Dominic, Cianchi, Andrea, Diening, Lars, and Schwarzacher, Sebastian. “Global Schauder estimates for the $p$-Laplace system”. Archive for Rational Mechanics and Analysis (2019).

  PUB | DOI | WoS | arXiv
   
• [77]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934138

  Cruz-Uribe, David, and Diening, Lars. “Sharp A-harmonic approximation”. APPLICABLE ANALYSIS 98.1-2 (2019): 374-380.

  PUB | DOI | WoS
   
• [76]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933908

  Diening, Lars, Scharle, Toni, and Schwarzacher, Sebastian. “Regularity for parabolic systems of Uhlenbeck type with Orlicz growth”. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 472.1 (2019): 46-60.

  PUB | DOI | WoS | arXiv
   
• [75]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934679

  Bartels, Sören, Diening, Lars, and Nochetto, Ricardo H. “Unconditional Stability of Semi-Implicit Discretizations of Singular Flows”. SIAM Journal on Numerical Analysis 56.3 (2018): 1896-1914.

  PUB | DOI | WoS
   
• [74]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930529

  Almeida, Alexandre, Diening, Lars, and Hasto, Peter. “Homogeneous variable exponent Besov and Triebel-Lizorkin spaces”. MATHEMATISCHE NACHRICHTEN 291.8-9 (2018): 1177-1190.

  PUB | DOI | WoS
   
• [73]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934680

  Breit, Dominic, Cianchi, Andrea, Diening, Lars, Kuusi, Tuomo, and Schwarzacher, Sebastian. “Pointwise Calderón–Zygmund gradient estimates for the p -Laplace system”. Journal de Mathématiques Pures et Appliquées 114 (2017): 146-190.

  PUB | DOI | WoS
   
• [72]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913486

  Diening, Lars, Feireisl, Eduard, and Lu, Yong. “The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system”. ESAIM. Control, Optimisation and Calculus of Variations 23.3 (2017): 851-868.

  PUB | DOI | WoS | arXiv
   
• [71]
  

  2017 | Preprint | PUB-ID: 2913416

  Diening, Lars, Fornasier, Massimo, and Wank, Maximilian. “A Relaxed Kačanov Iteration for the $p$-Poisson Problem”. arXiv:1702.03844 (2017).

  PUB | arXiv
   
• [70]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913485

  Breit, Dominic, Cianchi, Andrea, and Diening, Lars. “Trace-free Korn inequalities in Orlicz spaces”. SIAM Journal on Mathematical Analysis 49.4 (2017): 2496-2526.

  PUB | DOI | WoS | arXiv
   
• [69]
  

  2017 | Preprint | PUB-ID: 2913415

  Breit, Dominic, Diening, Lars, and Gmeineder, Franz. “Traces of functions of bounded A-variation and variational problems with linear growth”. arXiv:1707.06804 (2017).

  PUB | arXiv
   
• [68]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913484

  Diening, Lars, Schwarzacher, Sebastian, Stroffolini, Bianca, and Verde, Anna. “Parabolic Lipschitz truncation and Caloric Approximation”. Calculus of Variations and Partial Differential Equations 56.4 (2017): 120.

  PUB | DOI | WoS | arXiv
   
• [67]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913487

  Breit, Dominic, Cianchi, Andrea, Diening, Lars, Kuusi, Tuomo, and Schwarzacher, Sebastian. “The $p$-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates”. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 153 (2017): 200-212.

  PUB | DOI | WoS
   
• [66]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913419

  Bulíček, Miroslav, Diening, Lars, and Schwarzacher, Sebastian. “Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems”. Analysis & PDE 9.5 (2016): 1115-1151.

  PUB | DOI | WoS | arXiv
   
• [65]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913490

  Berselli, Luigi C., Breit, Dominic, and Diening, Lars. “Convergence analysis for a finite element approximation of a steady model for electrorheological fluids”. Numerische Mathematik 132.4 (2016): 657-689.

  PUB | DOI | WoS | arXiv
   
• [64]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913492

  Dahlke, Stephan, Diening, Lars, Hartmann, Christoph, Scharf, Benjamin, and Weimar, Markus. “Besov regularity of solutions to the $p$-Poisson equation”. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 130 (2016): 298-329.

  PUB | DOI | WoS | arXiv
   
• [63]
  

  2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913489

  Abels, Helmut, Diening, Lars, and Terasawa, Yutaka. “Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows”. Recent developments of mathematical fluid mechanics. Ed. Herbert Amann, Yoshikazu Giga, Hideo Kozono, Hisashi Okamoto, and Masao Yamazaki. Basel: Birkhäuser, 2016. Advances in Mathematical Fluid Mechanics. 13-23.

  PUB
   
• [62]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913491

  Diening, Lars, Kreuzer, Christian, and Stevenson, Rob. “Instance optimality of the adaptive maximum strategy”. Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics 16.1 (2016): 33-68.

  PUB | DOI | WoS | arXiv
   
• [61]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913493

  Berselli, Luigi C., Diening, Lars, and Růžička, Michael. “Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids”. IMA Journal of Numerical Analysis 35.2 (2015): 680-697.

  PUB | DOI | WoS | arXiv
   
• [60]
  

  2015 | Preprint | PUB-ID: 2913420

  Breit, Dominic, Cianchi, Andrea, Diening, Lars, Kuusi, Tuomo, and Schwarzacher, Sebastian. “Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system”. arXiv:1510.02612 (2015).

  PUB | arXiv
   
• [59]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913494

  Breit, Dominic, Diening, Lars, and Schwarzacher, Sebastian. “Finite element approximation of the $p(\cdot)$-Laplacian”. SIAM Journal on Numerical Analysis 53.1 (2015): 551-572.

  PUB | DOI | WoS | arXiv
   
• [58]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913495

  Diening, Lars, Kaplicky, Petr, and Schwarzacher, Sebastian. “Campanato estimates for the generalized Stokes System”. Annali di Matematica Pura ed Applicata. Series IV 193.6 (2014): 1779-1794.

  PUB | DOI | WoS | arXiv
   
• [57]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913498

  Abels, Helmut, Diening, Lars, and Terasawa, Yutaka. “Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows”. Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 15 (2014): 149-157.

  PUB | DOI | WoS | arXiv
   
• [56]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913497

  Diening, Lars, and Schwarzacher, Sebastian. “Global gradient estimates for the $p(\cdot)$-Laplacian”. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 106 (2014): 70-85.

  PUB | DOI | WoS | arXiv
   
• [55]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913496

  Diening, Lars, Kröner, Dietmar, Růžička, Michael, and Toulopoulos, Ioannis. “A local discontinuous Galerkin approximation for systems with $p$-structure”. IMA Journal of Numerical Analysis 34.4 (2014): 1447-1488.

  PUB | DOI | WoS
   
• [54]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913501

  Diening, Lars, Kreuzer, Christian, and Schwarzacher, Sebastian. “Convex hull property and maximum principle for finite element minimisers of general convex functionals”. Numerische Mathematik 124.4 (2013): 685-700.

  PUB | DOI | WoS | arXiv
   
• [53]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961647

  Diening, Lars, Lindqvist, Peter, and Kawohl, Bernd. “Mini-Workshop: The p-Laplacian Operator and Applications”. Oberwolfach Reports 10.1 (2013): 433-482.

  PUB | DOI
   
• [52]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913503

  Diening, Lars, Kreuzer, Christian, and Süli, Endre. “Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology”. SIAM Journal on Numerical Analysis 51.2 (2013): 984-1015.

  PUB | DOI | WoS | arXiv
   
• [51]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913500

  Diening, Lars, and Schwarzacher, Sebastian. “On the key estimate for variable exponent spaces”. Azerbaijan Journal of Mathematics 3.2 (2013): 62-69.

  PUB
   
• [50]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913499

  Breit, Dominic, Diening, Lars, and Schwarzacher, Sebastian. “Solenoidal Lipschitz truncation for parabolic PDEs”. Mathematical Models and Methods in Applied Sciences 23.14 (2013): 2671-2700.

  PUB | DOI | WoS | arXiv
   
• [49]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913502

  Diening, Lars, and Kaplicky, Petr. “$L^q$ theory for a generalized Stokes system”. Manuscripta Mathematica 141.1-2 (2013): 333-361.

  PUB | DOI | WoS
   
• [48]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913508

  Breit, Dominic, Diening, Lars, and Fuchs, M. “Solenoidal Lipschitz truncation and applications in fluid mechanics”. Journal of Differential Equations 253.6 (2012): 1910-1942.

  PUB | DOI | WoS
   
• [47]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913510

  Belenki, Liudmila, Diening, Lars, and Kreuzer, Christian. “Optimality of an adaptive finite element method for the $p$-Laplacian equation”. IMA Journal of Numerical Analysis 32.2 (2012): 484-510.

  PUB | DOI | WoS
   
• [46]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913506

  Breit, Dominic, and Diening, Lars. “Sharp conditions for Korn inequalities in Orlicz spaces”. Journal of Mathematical Fluid Mechanics 14.3 (2012): 565-573.

  PUB | DOI | WoS
   
• [45]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913505

  Diening, Lars, Nägele, Philipp, and Růžička, Michael. “Monotone operator theory for unsteady problems in variable exponent spaces”. Complex Variables and Elliptic Equations. An International Journal 57.11 (2012): 1209-1231.

  PUB | DOI | WoS
   
• [44]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913504

  Diening, Lars, Lengeler, Daniel, Stroffolini, Bianca, and Verde, Anna. “Partial regularity for minimizers of quasi-convex functionals with general growth”. SIAM Journal on Mathematical Analysis 44.5 (2012): 3594-3616.

  PUB | DOI | WoS | arXiv
   
• [43]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913509

  Belenki, Liudmila, Berselli, Luigi C., Diening, Lars, and Růžička, Michael. “On the finite element approximation of $p$-Stokes systems”. SIAM Journal on Numerical Analysis 50.2 (2012): 373-397.

  PUB | DOI | WoS
   
• [42]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913511

  Diening, Lars, Kaplicky, Petr, and Schwarzacher, Sebastian. “BMO estimates for the $p$-Laplacian”. Nonlinear Analysis. Theory, Methods & Applications. An international multidisciplinary journal 75.2 (2012): 637-650.

  PUB | DOI | WoS
   
• [41]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913507

  Diening, Lars, Stroffolini, Bianca, and Verde, Anna. “The $\phi$-harmonic approximation and the regularity of $\phi$-harmonic maps”. Journal of Differential Equations 253.7 (2012): 1943-1958.

  PUB | DOI | WoS
   
• [40]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942128

  Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. “The Maximal Operator”. Lebesgue and Sobolev Spaces with Variable Exponents. Ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka. Berlin, Heidelberg: Springer , 2011.Vol. 2017. Lecture Notes in Mathematics. 99-141.

  PUB | DOI
   
• [39]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942123

  Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. “PDEs and Fluid Dynamics”. Lebesgue and Sobolev Spaces with Variable Exponents. Ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka. Berlin, Heidelberg: Springer , 2011.Vol. 2017. Lecture Notes in Mathematics. 437-481.

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• [38]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942116

  Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. “Dirichlet Energy Integral and Laplace Equation”. Lebesgue and Sobolev Spaces with Variable Exponents. Ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka. Berlin, Heidelberg: Springer, 2011.Vol. 2017. Lecture Notes in Mathematics. 401-436.

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• [37]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942111

  Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. “A Framework for Function Spaces”. Lebesgue and Sobolev Spaces with Variable Exponents. Ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka. Berlin, Heidelberg: Springer , 2011.Vol. 2017. Lecture Notes in Mathematics. 21-68.

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• [36]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942114

  Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. “Classical Operators”. Lebesgue and Sobolev Spaces with Variable Exponents. Ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka. Berlin, Heidelberg: Springer, 2011.Vol. 2017. Lecture Notes in Mathematics. 199-212.

  PUB | DOI
   
• [35]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942113

  Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. “Capacities”. Lebesgue and Sobolev Spaces with Variable Exponents. Ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka. Berlin, Heidelberg: Springer , 2011.Vol. 2017. Lecture notes in mathematics. 315-338.

  PUB | DOI
   
• [34]
  

  2011 | Monographie | Veröffentlicht | PUB-ID: 2913515

  Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. Lebesgue and Sobolev spaces with variable exponents. Berlin ; Heidelberg: Springer, 2011. Lecture Notes in Mathematics. 2017.

  PUB | DOI | WoS
   
• [33]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913513

  Diening, Lars, Lengeler, Daniel, and Růžička, Michael. “The Stokes and Poisson problem in variable exponent spaces”. Complex Variables and Elliptic Equations. An International Journal 56.7-9 (2011): 789-811.

  PUB | DOI | WoS | arXiv
   
• [32]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913512

  Cruz-Uribe, David, Diening, Lars, and Hästö, Peter. “The maximal operator on weighted variable Lebesgue spaces”. Fractional Calculus and Applied Analysis. An International Journal for Theory and Applications 14.3 (2011): 361-374.

  PUB | DOI | WoS
   
• [31]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913516

  Diening, Lars, Stroffolini, Bianca, and Verde, Anna. “Lipschitz regularity for some asymptotically convex problems”. ESAIM. Control, Optimisation and Calculus of Variations 17.1 (2011): 178-189.

  PUB | DOI | WoS
   
• [30]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913514

  Diening, Lars, and Samko, Stefan G. “On potentials in generalized Hölder spaces over uniform domains in $\Bbb R^n$”. Revista Matemática Complutense 24.2 (2011): 357-373.

  PUB | DOI | WoS
   
• [29]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913520

  Diening, Lars, and Růžička, Michael. “An existence result for non-Newtonian fluids in non-regular domains”. Discrete and Continuous Dynamical Systems. Series S 3.2 (2010): 255-268.

  PUB | DOI | WoS
   
• [28]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913518

  Diening, Lars, Růžička, Michael, and Wolf, Jörg. “Existence of weak solutions for unsteady motions of generalized Newtonian fluids”. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9.1 (2010): 1-46.

  PUB | Download (ext.)
   
• [27]
  

  2010 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2913517

  Diening, Lars, and Fröschl, Sascha. “Extensions in spaces with variable exponents - the half space”. Harmonic Analysis and Nonlinear Partial Differential Equations. Ed. Yashio Tsutsumi. Kyoto, Japan: Research Institute for Mathematical Sciences (RIMS), 2010.Vol. B22. RIMS Kokyuroku Bessatsu. 71-92.

  PUB
   
• [26]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913519

  Diening, Lars, Růžička, Michael, and Schumacher, Katrin. “A decomposition technique for John domains”. Annales Academiæ Scientiarum Fennicæ. Mathematica 35.1 (2010): 87-114.

  PUB | DOI
   
• [25]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913521

  Berselli, Luigi C., Diening, Lars, and Růžička, Michael. “Existence of strong solutions for incompressible fluids with shear dependent viscosities”. Journal of Mathematical Fluid Mechanics 12.1 (2010): 101-132.

  PUB | DOI | WoS
   
• [24]
  

  2009 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2942118

  Diening, Lars, and Hästö, Peter. “FURTHER RESULTS ON VARIABLE EXPONENT TRACE SPACES”. More Progresses in Analysis. Proceedings of the 5th International ISAAC Congress , Catania, Italy , 25 – 30 July 2005. Ed. Heinrich G. W. Begehr and Francesco Nicolosi. Singapore: World Scientific, 2009. 101-106.

  PUB | DOI
   
• [23]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913523

  Diening, Lars, Stroffolini, Bianca, and Verde, Anna. “Everywhere regularity of functionals with φ-growth”. Manuscripta Mathematica 129.4 (2009): 449-481.

  PUB | DOI | WoS
   
• [22]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913522

  Diening, Lars, Harjulehto, Petteri, Hästö, Peter, Mizuta, Yoshihiro, and Shimomura, Tetsu. “Maximal functions in variable exponent spaces: limiting cases of the exponent”. Annales Academiæ Scientiarum Fennicæ. Mathematica 34.2 (2009): 503-522.

  PUB
   
• [21]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913525

  Diening, Lars, Hästö, Peter, and Roudenko, Svetlana. “Function spaces of variable smoothness and integrability”. Journal of Functional Analysis 256.6 (2009): 1731-1768.

  PUB | DOI | WoS | arXiv
   
• [20]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913524

  Berselli, Luigi C., Diening, Lars, and Růžička, Michael. “Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities”. SIAM Journal on Numerical Analysis 47.3 (2009): 2177-2202.

  PUB | DOI | WoS
   
• [19]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913526

  Cruz-Uribe, D., Diening, Lars, and Fiorenza, A. “A new proof of the boundedness of maximal operators on variable Lebesgue spaces”. Bollettino della Unione Matematica Italiana. Serie 9 2.1 (2009): 151-173.

  PUB
   
• [18]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913527

  Diening, Lars, and Ettwein, Frank. “Fractional estimates for non-differentiable elliptic systems with general growth”. Forum Mathematicum 20.3 (2008): 523-556.

  PUB | DOI | WoS
   
• [17]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913529

  Diening, Lars, and Kreuzer, Christian. “Linear convergence of an adaptive finite element method for the $p$-Laplacian equation”. SIAM Journal on Numerical Analysis 46.2 (2008): 614-638.

  PUB | DOI | WoS
   
• [16]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913528

  Diening, Lars, Málek, Josef, and Steinhauer, Mark. “On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications”. ESAIM. Control, Optimisation and Calculus of Variations 14.2 (2008): 211-232.

  PUB | DOI | WoS
   
• [15]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913534

  Diening, Lars, and Růžička, Michael. “Interpolation operators in Orlicz-Sobolev spaces”. Numerische Mathematik 107.1 (2007): 107-129.

  PUB | DOI | WoS
   
• [14]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913532

  Diening, Lars, and Samko, Stefan G. “Hardy inequality in variable exponent Lebesgue spaces”. Fractional Calculus & Applied Analysis. An International Journal for Theory and Applications 10.1 (2007): 1-18.

  PUB
   
• [13]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913531

  Diening, Lars, and Hästö, Peter. “Variable exponent trace spaces”. Studia Mathematica 183.2 (2007): 127-141.

  PUB | DOI | WoS
   
• [12]
  

  2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913530

  Růžička, Michael, and Diening, Lars. “Non-Newtonian fluids and function spaces”. Nonlinear analysis, function spaces and applications. Proceedings of the Spring School held in Prague, May 30-June 6, 2006. Vol. 8. Ed. Jiří Rákosník. Praha: Institute of Mathematics of the Academy of Sciences of the Czech Republic, 2007. 95-143.

  PUB
   
• [11]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913535

  Diening, Lars, Ebmeyer, Carsten, and Růžička, Michael. “Optimal convergence for the implicit space-time discretization of parabolic systems with $p$-structure”. SIAM Journal on Numerical Analysis 45.2 (2007): 457-472.

  PUB | DOI | WoS
   
• [10]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913533

  Diening, Lars, Ettwein, Frank, and Růžička, Michael. “$C^{1,\alpha}$-regularity for electrorheological fluids in two dimensions”. NoDEA. Nonlinear Differential Equations and Applications 14.1-2 (2007): 207-217.

  PUB | DOI | WoS
   
• [9]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913536

  Diening, Lars, Prohl, Andreas, and Růžička, Michael. “Semi-implicit Euler scheme for generalized Newtonian fluids”. SIAM Journal on Numerical Analysis 44.3 (2006): 1172-1190.

  PUB | DOI | WoS
   
• [8]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913537

  Diening, Lars, and Růžička, Michael. “Strong solutions for generalized Newtonian fluids”. Journal of Mathematical Fluid Mechanics 7.3 (2005): 413-450.

  PUB | DOI | WoS
   
• [7]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913538

  Diening, Lars. “Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces”. Bulletin des Sciences Mathématiques 129.8 (2005): 657-700.

  PUB | DOI | WoS
   
• [6]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913542

  Diening, Lars. “Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces $L^{p(\cdot)}$ and $W^{k,p(\cdot)}$”. Mathematische Nachrichten 268.1 (2004): 31-43.

  PUB | DOI | WoS
   
• [5]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913539

  Diening, Lars, and Růžička, Michael. “Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. II”. Journal of Mathematical Analysis and Applications 298.2 (2004): 572-588.

  PUB | DOI | WoS
   
• [4]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913541

  Diening, Lars. “Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$”. Mathematical Inequalities & Applications 7.2 (2004): 245-253.

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• [3]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913540

  Diening, Lars, and Růžička, Michael. “Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. I”. Journal of Mathematical Analysis and Applications 298.2 (2004): 559-571.

  PUB | DOI | WoS
   
• [2]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913543

  Diening, Lars, and Růžička, Michael. “Calderón-Zygmund operators on generalized Lebesgue spaces $L^{p(\cdot)}$ and problems related to fluid dynamics”. Journal für die Reine und Angewandte Mathematik. [Crelle's Journal] 563 (2003): 197-220.

  PUB | DOI
   
• [1]
  

  2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913544

  Diening, Lars, Prohl, Andreas, and Růžička, Michael. “On time discretizations for generalized Newtonian fluids”. Nonlinear problems in mathematical physics and related topics: in honor of Professor O. A. Ladyzhenskaya, Vol. 2. Ed. Michael Sh. Birman, Stefan Hildebrandt, Vsevolod A. Solonnikov, and Nina N. Uraltseva. New York, NY: Kluwer/Plenum, 2002.Vol. 2. International Mathematical Series. 89-118.

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