PUB - Publikationen an der Universität Bielefeld

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• [121]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990865

  Diening, L., et al., 2025. Higher differentiability for the fractional p-Laplacian. Mathematische Annalen, 391, p 5631–5693.

  PUB | DOI | WoS | arXiv
   
• [120]
  

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

  Diening, L., Gehring, L., & Storn, J., 2025. Adaptive Mesh Refinement for Arbitrary Initial Triangulations. Foundations of Computational Mathematics .

  PUB | DOI | WoS
   
• [119]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2993038

  Diening, L., et al., 2025. Gradient estimates for parabolic nonlinear nonlocal equations. Calculus of Variations and Partial Differential Equations, 64: 98.

  PUB | DOI | WoS | arXiv
   
• [118]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969593

  Diening, L., & Nowak, S.N., 2025. Calderón-Zygmund estimates for the fractional p-Laplacian. Annals of PDE, 11: 6.

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

  2025 | Preprint | PUB-ID: 3000940

  Diening, L., Stevenson, R., & Storn, J., 2025. A quasi-optimal space-time FEM with local mesh refinements for parabolic problems. arXiv:2502.13655.

  PUB | DOI | arXiv
   
• [116]
  

  2025 | Preprint | PUB-ID: 3000415

  Diening, L., & Storn, J., 2025. Guaranteed upper bounds for iteration errors and modified Kacanov schemes via discrete duality. arXiv:2501.16850.

  PUB | DOI | arXiv
   
• [115]
  

  2025 | Preprint | PUB-ID: 3000866

  Adamadze, D., Diening, L., & Kopaliani, T., 2025. Maximal operator on variable exponent spaces. arXiv:2502.10313.

  PUB | DOI | arXiv
   
• [114]
  

  2025 | Preprint | PUB-ID: 3000895

  Khripunova Balci, A., et al., 2025. Examples of $p$-harmonic maps. arXiv:2502.12059.

  PUB | DOI | arXiv
   
• [113]
  

  2025 | Preprint | PUB-ID: 3000392

  Diening, L., et al., 2025. Pressure robust finite element discretizations of the nonlinear Stokes equations. arXiv:2501.15954.

  PUB | arXiv
   
• [112]
  

  2024 | Preprint | PUB-ID: 2988636

  Behn, L., et al., 2024. The De Giorgi method for local and nonlocal systems. arXiv: 2404.04063.

  PUB | DOI | arXiv
   
• [111]
  

  2024 | Preprint | PUB-ID: 2992691

  Behn, L., et al., 2024. Nonlocal equations with degenerate weights. arXiv:2409.11829.

  PUB | DOI | arXiv
   
• [110]
  

  2024 | Preprint | Angenommen | PUB-ID: 2986868

  Diening, L., et al., Accepted. Nonlinear nonlocal potential theory at the gradient level. arXiv: 2402.04809, to appear in Journal of the European Mathematical Society.

  PUB | DOI | arXiv
   
• [109]
  

  2024 | Preprint | PUB-ID: 3000395

  Diening, L., Storn, J., & Tscherpel, T., 2024. Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation. arXiv:2411.09485.

  PUB | arXiv
   
• [108]
  

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

  Diening, L., & Gmeineder, F., 2024. Sharp Trace and Korn Inequalities for Differential Operators. Potential Analysis .

  PUB | DOI | WoS | arXiv
   
• [107]
  

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

  Khripunova Balci, A., Diening, L., & Salgado, A.J., 2024. Numerical approximation of variational problems with orthotropic growth. Numerische Mathematik.

  PUB | DOI | WoS | arXiv
   
• [106]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990408

  Cianchi, A., & Diening, L., 2024. Sobolev embeddings in Musielak-Orlicz spaces. Advances in Mathematics, 447: 109679.

  PUB | DOI | WoS
   
• [105]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990341

  Diening, L., Rolfes, J., & Salgado, A.J., 2024. Pointwise Gradient Estimate of the Ritz Projection. SIAM Journal on Numerical Analysis, 62(3), p 1212-1225.

  PUB | DOI | WoS | arXiv
   
• [104]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984029

  Behn, L., & Diening, L., 2024. Global regularity for nonlinear systems with symmetric gradients. Calculus of Variations and Partial Differential Equations, 63(3): 60.

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

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984527

  Khripunova Balci, A., Diening, L., & Storn, J., 2023. Relaxed Kačanov Scheme for the p-Laplacian with Large Exponent. SIAM Journal on Numerical Analysis, 61(6), p 2775-2794.

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

  2023 | Preprint | PUB-ID: 2986004

  Khripunova Balci, A., Diening, L., & Surnachev, M., 2023. Scalar minimizers with maximal singular sets and lack of Meyers property. arXiv:2312.15772.

  PUB | arXiv
   
• [101]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960477

  Khripunova Balci, A., et al., 2023. Global Maximal Regularity for Equations with Degenerate Weights. Journal de Mathématiques Pures et Appliquées, 177, p 484-530.

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

  2023 | Preprint | PUB-ID: 2979131

  Diening, L., Storn, J., & Tscherpel, T., 2023. Grading of Triangulations Generated by Bisection. arXiv:2305.05742.

  PUB | arXiv
   
• [99]
  

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

  Diening, L., Storn, J., & Tscherpel, T., 2023. Interpolation Operator on negative Sobolev Spaces. Mathematics of Computation.

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

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

  Diening, L., Karlovych, O., & Shargorodsky, E., 2023. On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded. Georgian Mathematical Journal.

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

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

  Diening, L., Hofmanová, M., & Wichmann, J., 2022. An averaged space–time discretization of the stochastic p-Laplace system. Numerische Mathematik, 153.

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960478

  Diening, L., Lee, M., & Ok, J., 2022. Parabolic weighted Sobolev-Poincaré type inequalities. Nonlinear Analysis : Theory, Methods & Applications , 218: 112772.

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962489

  Khripunova Balci, A., et al., 2022. Elliptic Equations with Degenerate Weights. SIAM Journal on Mathematical Analysis, 54(2), p 2373-2412.

  PUB | DOI | WoS | arXiv
   
• [94]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2959661

  Diening, L., & Storn, J., 2022. A space-time DPG method for the heat equation. Computers & Mathematics with Applications, 105(1), p 41-53.

  PUB | DOI | WoS | arXiv
   
• [93]
  

  2022 | Preprint | PUB-ID: 2962502

  Diening, L., Hofmanová, M., & Wichmann, J., 2022. An averaged space-time discretization of the stochastic $p$-Laplace system. arXiv:2204.08929.

  PUB | arXiv
   
• [92]
  

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

  Diening, L., Karlovych, O., & Shargorodsky, E., 2022. On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded. Georgian Mathematical Journal.

  PUB | DOI | WoS
   
• [91]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957935

  Diening, L., Storn, J., & Tscherpel, T., 2021. On the Sobolev and $L^p$-Stability of the $L^2$-Projection. SIAM Journal on Numerical Analysis, 59(5), p 2571-2607.

  PUB | DOI | WoS | arXiv
   
• [90]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954328

  Diening, L., Storn, J., & Tscherpel, T., 2021. Fortin Operator for the Taylor-Hood Element. Numerische Mathematik , 150, p 671-689.

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

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958034

  Breit, D., et al., 2021. The parabolic $p$-Laplacian with fractional differentiability. IMA Journal of Numerical Analysis, 41(3), p 2110-2138.

  PUB | DOI | WoS
   
• [88]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960443

  Breit, D., Diening, L., & Gmeineder, F., 2021. The Lipschitz Truncation of Functions of Bounded Variation. Indiana University Mathematics Journal , 70(6), p 2237-2260.

  PUB | DOI | WoS
   
• [87]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956976

  Khripunova Balci, A., et al., 2021. A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Mathematische Annalen.

  PUB | DOI | WoS | arXiv
   
• [86]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948279

  Khripunova Balci, A., Diening, L., & Surnachev, M., 2020. New Examples on Lavrentiev Gap Using Fractals. Calculus of Variations and Partial Differential Equations, 59(5): 180.

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

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948394

  Diening, L., Scharle, T., & Süli, E., 2020. Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations. IMA Journal of Numerical Analysis , 41(3), p 1846-1898.

  PUB | DOI | WoS | arXiv
   
• [84]
  

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

  Diening, L., & Kreuzer, C., 2020. On the Threshold Condition for Dörfler Marking. Computational Methods in Applied Mathematics.

  PUB | DOI | WoS | arXiv
   
• [83]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948395

  Diening, L., & Gmeineder, F., 2020. Continuity points via Riesz potentials for $\mathbb{C}$-elliptic operators. The Quarterly Journal of Mathematics, 71(4), p 1201-1218.

  PUB | DOI | WoS | arXiv
   
• [82]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2938742

  Khripunova Balci, A., Diening, L., & Weimar, M., 2020. Higher order Calderon-Zygmund estimates for the p-Laplace equation. Journal of Differential Equations, 268(2), p 590-635.

  PUB | DOI | WoS | arXiv
   
• [81]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941879

  Diening, L., et al., 2020. A Relaxed Kaanov iteration for the p-poisson problem. Numerische Mathematik, 145, p 1-34.

  PUB | PDF | DOI | WoS
   
• [80]
  

  2020 | Preprint | PUB-ID: 2943289

  Breit, D., et al., 2020. The parabolic p-Laplacian with fractional differentiability.

  PUB | PDF | arXiv
   
• [79]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942742

  Breit, D., Diening, L., & Gmeineder, F., 2020. ON THE TRACE OPERATOR FOR FUNCTIONS OF BOUNDED A-VARIATION. ANALYSIS & PDE, 13(2), p 559-594.

  PUB | DOI | WoS
   
• [78]
  

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

  Breit, D., et al., 2019. Global Schauder estimates for the $p$-Laplace system. Archive for Rational Mechanics and Analysis .

  PUB | DOI | WoS | arXiv
   
• [77]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934138

  Cruz-Uribe, D., & Diening, L., 2019. Sharp A-harmonic approximation. APPLICABLE ANALYSIS, 98(1-2), p 374-380.

  PUB | DOI | WoS
   
• [76]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933908

  Diening, L., Scharle, T., & Schwarzacher, S., 2019. Regularity for parabolic systems of Uhlenbeck type with Orlicz growth. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 472(1), p 46-60.

  PUB | DOI | WoS | arXiv
   
• [75]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934679

  Bartels, S., Diening, L., & Nochetto, R.H., 2018. Unconditional Stability of Semi-Implicit Discretizations of Singular Flows. SIAM Journal on Numerical Analysis, 56(3), p 1896-1914.

  PUB | DOI | WoS
   
• [74]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930529

  Almeida, A., Diening, L., & Hasto, P., 2018. Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. MATHEMATISCHE NACHRICHTEN, 291(8-9), p 1177-1190.

  PUB | DOI | WoS
   
• [73]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934680

  Breit, D., et al., 2017. Pointwise Calderón–Zygmund gradient estimates for the p -Laplace system. Journal de Mathématiques Pures et Appliquées, 114, p 146-190.

  PUB | DOI | WoS
   
• [72]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913486

  Diening, L., Feireisl, E., & Lu, Y., 2017. 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), p 851-868.

  PUB | DOI | WoS | arXiv
   
• [71]
  

  2017 | Preprint | PUB-ID: 2913416

  Diening, L., Fornasier, M., & Wank, M., 2017. A Relaxed Kačanov Iteration for the $p$-Poisson Problem. arXiv:1702.03844.

  PUB | arXiv
   
• [70]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913485

  Breit, D., Cianchi, A., & Diening, L., 2017. Trace-free Korn inequalities in Orlicz spaces. SIAM Journal on Mathematical Analysis, 49(4), p 2496-2526.

  PUB | DOI | WoS | arXiv
   
• [69]
  

  2017 | Preprint | PUB-ID: 2913415

  Breit, D., Diening, L., & Gmeineder, F., 2017. Traces of functions of bounded A-variation and variational problems with linear growth. arXiv:1707.06804.

  PUB | arXiv
   
• [68]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913484

  Diening, L., et al., 2017. Parabolic Lipschitz truncation and Caloric Approximation. Calculus of Variations and Partial Differential Equations, 56(4): 120.

  PUB | DOI | WoS | arXiv
   
• [67]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913487

  Breit, D., et al., 2017. 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, p 200-212.

  PUB | DOI | WoS
   
• [66]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913419

  Bulíček, M., Diening, L., & Schwarzacher, S., 2016. Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Analysis & PDE, 9(5), p 1115-1151.

  PUB | DOI | WoS | arXiv
   
• [65]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913490

  Berselli, L.C., Breit, D., & Diening, L., 2016. Convergence analysis for a finite element approximation of a steady model for electrorheological fluids. Numerische Mathematik, 132(4), p 657-689.

  PUB | DOI | WoS | arXiv
   
• [64]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913492

  Dahlke, S., et al., 2016. Besov regularity of solutions to the $p$-Poisson equation. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal, 130, p 298-329.

  PUB | DOI | WoS | arXiv
   
• [63]
  

  2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913489

  Abels, H., Diening, L., & Terasawa, Y., 2016. Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows. In H. Amann, et al., eds. Recent developments of mathematical fluid mechanics. Advances in Mathematical Fluid Mechanics. Basel: Birkhäuser, pp. 13-23.

  PUB
   
• [62]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913491

  Diening, L., Kreuzer, C., & Stevenson, R., 2016. Instance optimality of the adaptive maximum strategy. Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics, 16(1), p 33-68.

  PUB | DOI | WoS | arXiv
   
• [61]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913493

  Berselli, L.C., Diening, L., & Růžička, M., 2015. Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids. IMA Journal of Numerical Analysis, 35(2), p 680-697.

  PUB | DOI | WoS | arXiv
   
• [60]
  

  2015 | Preprint | PUB-ID: 2913420

  Breit, D., et al., 2015. Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system. arXiv:1510.02612.

  PUB | arXiv
   
• [59]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913494

  Breit, D., Diening, L., & Schwarzacher, S., 2015. Finite element approximation of the $p(\cdot)$-Laplacian. SIAM Journal on Numerical Analysis, 53(1), p 551-572.

  PUB | DOI | WoS | arXiv
   
• [58]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913495

  Diening, L., Kaplicky, P., & Schwarzacher, S., 2014. Campanato estimates for the generalized Stokes System. Annali di Matematica Pura ed Applicata. Series IV, 193(6), p 1779-1794.

  PUB | DOI | WoS | arXiv
   
• [57]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913498

  Abels, H., Diening, L., & Terasawa, Y., 2014. 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, p 149-157.

  PUB | DOI | WoS | arXiv
   
• [56]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913497

  Diening, L., & Schwarzacher, S., 2014. Global gradient estimates for the $p(\cdot)$-Laplacian. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal, 106, p 70-85.

  PUB | DOI | WoS | arXiv
   
• [55]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913496

  Diening, L., et al., 2014. A local discontinuous Galerkin approximation for systems with $p$-structure. IMA Journal of Numerical Analysis, 34(4), p 1447-1488.

  PUB | DOI | WoS
   
• [54]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913501

  Diening, L., Kreuzer, C., & Schwarzacher, S., 2013. Convex hull property and maximum principle for finite element minimisers of general convex functionals. Numerische Mathematik, 124(4), p 685-700.

  PUB | DOI | WoS | arXiv
   
• [53]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961647

  Diening, L., Lindqvist, P., & Kawohl, B., 2013. Mini-Workshop: The p-Laplacian Operator and Applications. Oberwolfach Reports, 10(1), p 433-482.

  PUB | DOI
   
• [52]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913503

  Diening, L., Kreuzer, C., & Süli, E., 2013. Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. SIAM Journal on Numerical Analysis, 51(2), p 984-1015.

  PUB | DOI | WoS | arXiv
   
• [51]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913500

  Diening, L., & Schwarzacher, S., 2013. On the key estimate for variable exponent spaces. Azerbaijan Journal of Mathematics, 3(2), p 62-69.

  PUB
   
• [50]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913499

  Breit, D., Diening, L., & Schwarzacher, S., 2013. Solenoidal Lipschitz truncation for parabolic PDEs. Mathematical Models and Methods in Applied Sciences, 23(14), p 2671-2700.

  PUB | DOI | WoS | arXiv
   
• [49]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913502

  Diening, L., & Kaplicky, P., 2013. $L^q$ theory for a generalized Stokes system. Manuscripta Mathematica, 141(1-2), p 333-361.

  PUB | DOI | WoS
   
• [48]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913508

  Breit, D., Diening, L., & Fuchs, M., 2012. Solenoidal Lipschitz truncation and applications in fluid mechanics. Journal of Differential Equations, 253(6), p 1910-1942.

  PUB | DOI | WoS
   
• [47]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913510

  Belenki, L., Diening, L., & Kreuzer, C., 2012. Optimality of an adaptive finite element method for the $p$-Laplacian equation. IMA Journal of Numerical Analysis, 32(2), p 484-510.

  PUB | DOI | WoS
   
• [46]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913506

  Breit, D., & Diening, L., 2012. Sharp conditions for Korn inequalities in Orlicz spaces. Journal of Mathematical Fluid Mechanics, 14(3), p 565-573.

  PUB | DOI | WoS
   
• [45]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913505

  Diening, L., Nägele, P., & Růžička, M., 2012. Monotone operator theory for unsteady problems in variable exponent spaces. Complex Variables and Elliptic Equations. An International Journal, 57(11), p 1209-1231.

  PUB | DOI | WoS
   
• [44]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913504

  Diening, L., et al., 2012. Partial regularity for minimizers of quasi-convex functionals with general growth. SIAM Journal on Mathematical Analysis, 44(5), p 3594-3616.

  PUB | DOI | WoS | arXiv
   
• [43]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913509

  Belenki, L., et al., 2012. On the finite element approximation of $p$-Stokes systems. SIAM Journal on Numerical Analysis, 50(2), p 373-397.

  PUB | DOI | WoS
   
• [42]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913511

  Diening, L., Kaplicky, P., & Schwarzacher, S., 2012. BMO estimates for the $p$-Laplacian. Nonlinear Analysis. Theory, Methods & Applications. An international multidisciplinary journal, 75(2), p 637-650.

  PUB | DOI | WoS
   
• [41]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913507

  Diening, L., Stroffolini, B., & Verde, A., 2012. The $\phi$-harmonic approximation and the regularity of $\phi$-harmonic maps. Journal of Differential Equations, 253(7), p 1943-1958.

  PUB | DOI | WoS
   
• [40]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942128

  Diening, L., et al., 2011. The Maximal Operator. In L. Diening, et al., eds. Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics. no.2017 Berlin, Heidelberg: Springer , pp. 99-141.

  PUB | DOI
   
• [39]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942123

  Diening, L., et al., 2011. PDEs and Fluid Dynamics. In L. Diening, et al., eds. Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics. no.2017 Berlin, Heidelberg: Springer , pp. 437-481.

  PUB | DOI
   
• [38]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942116

  Diening, L., et al., 2011. Dirichlet Energy Integral and Laplace Equation. In L. Diening, et al., eds. Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics. no.2017 Berlin, Heidelberg: Springer, pp. 401-436.

  PUB | DOI
   
• [37]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942111

  Diening, L., et al., 2011. A Framework for Function Spaces. In L. Diening, et al., eds. Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics. no.2017 Berlin, Heidelberg: Springer , pp. 21-68.

  PUB | DOI
   
• [36]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942114

  Diening, L., et al., 2011. Classical Operators. In L. Diening, et al., eds. Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics. no.2017 Berlin, Heidelberg: Springer, pp. 199-212.

  PUB | DOI
   
• [35]
  

  2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942113

  Diening, L., et al., 2011. Capacities. In L. Diening, et al., eds. Lebesgue and Sobolev Spaces with Variable Exponents. Lecture notes in mathematics. no.2017 Berlin, Heidelberg: Springer , pp. 315-338.

  PUB | DOI
   
• [34]
  

  2011 | Monographie | Veröffentlicht | PUB-ID: 2913515

  Diening, L., et al., 2011. Lebesgue and Sobolev spaces with variable exponents, Lecture Notes in Mathematics, no.2017, Berlin ; Heidelberg: Springer.

  PUB | DOI | WoS
   
• [33]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913513

  Diening, L., Lengeler, D., & Růžička, M., 2011. The Stokes and Poisson problem in variable exponent spaces. Complex Variables and Elliptic Equations. An International Journal, 56(7-9), p 789-811.

  PUB | DOI | WoS | arXiv
   
• [32]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913512

  Cruz-Uribe, D., Diening, L., & Hästö, P., 2011. The maximal operator on weighted variable Lebesgue spaces. Fractional Calculus and Applied Analysis. An International Journal for Theory and Applications, 14(3), p 361-374.

  PUB | DOI | WoS
   
• [31]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913516

  Diening, L., Stroffolini, B., & Verde, A., 2011. Lipschitz regularity for some asymptotically convex problems. ESAIM. Control, Optimisation and Calculus of Variations, 17(1), p 178-189.

  PUB | DOI | WoS
   
• [30]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913514

  Diening, L., & Samko, S.G., 2011. On potentials in generalized Hölder spaces over uniform domains in $\Bbb R^n$. Revista Matemática Complutense, 24(2), p 357-373.

  PUB | DOI | WoS
   
• [29]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913520

  Diening, L., & Růžička, M., 2010. An existence result for non-Newtonian fluids in non-regular domains. Discrete and Continuous Dynamical Systems. Series S, 3(2), p 255-268.

  PUB | DOI | WoS
   
• [28]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913518

  Diening, L., Růžička, M., & Wolf, J., 2010. 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), p 1-46.

  PUB | Download (ext.)
   
• [27]
  

  2010 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2913517

  Diening, L., & Fröschl, S., 2010. Extensions in spaces with variable exponents - the half space. In Y. Tsutsumi, ed. Harmonic Analysis and Nonlinear Partial Differential Equations. RIMS Kokyuroku Bessatsu. no.B22 Kyoto, Japan: Research Institute for Mathematical Sciences (RIMS), pp. 71-92.

  PUB
   
• [26]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913519

  Diening, L., Růžička, M., & Schumacher, K., 2010. A decomposition technique for John domains. Annales Academiæ Scientiarum Fennicæ. Mathematica, 35(1), p 87-114.

  PUB | DOI
   
• [25]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913521

  Berselli, L.C., Diening, L., & Růžička, M., 2010. Existence of strong solutions for incompressible fluids with shear dependent viscosities. Journal of Mathematical Fluid Mechanics, 12(1), p 101-132.

  PUB | DOI | WoS
   
• [24]
  

  2009 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2942118

  Diening, L., & Hästö, P., 2009. FURTHER RESULTS ON VARIABLE EXPONENT TRACE SPACES. In H. G. W. Begehr & F. Nicolosi, eds. More Progresses in Analysis. Proceedings of the 5th International ISAAC Congress , Catania, Italy , 25 – 30 July 2005. Singapore: World Scientific, pp. 101-106.

  PUB | DOI
   
• [23]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913523

  Diening, L., Stroffolini, B., & Verde, A., 2009. Everywhere regularity of functionals with φ-growth. Manuscripta Mathematica, 129(4), p 449-481.

  PUB | DOI | WoS
   
• [22]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913522

  Diening, L., et al., 2009. Maximal functions in variable exponent spaces: limiting cases of the exponent. Annales Academiæ Scientiarum Fennicæ. Mathematica, 34(2), p 503-522.

  PUB
   
• [21]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913525

  Diening, L., Hästö, P., & Roudenko, S., 2009. Function spaces of variable smoothness and integrability. Journal of Functional Analysis, 256(6), p 1731-1768.

  PUB | DOI | WoS | arXiv
   
• [20]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913524

  Berselli, L.C., Diening, L., & Růžička, M., 2009. Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities. SIAM Journal on Numerical Analysis, 47(3), p 2177-2202.

  PUB | DOI | WoS
   
• [19]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913526

  Cruz-Uribe, D., Diening, L., & Fiorenza, A., 2009. A new proof of the boundedness of maximal operators on variable Lebesgue spaces. Bollettino della Unione Matematica Italiana. Serie 9, 2(1), p 151-173.

  PUB
   
• [18]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913527

  Diening, L., & Ettwein, F., 2008. Fractional estimates for non-differentiable elliptic systems with general growth. Forum Mathematicum, 20(3), p 523-556.

  PUB | DOI | WoS
   
• [17]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913529

  Diening, L., & Kreuzer, C., 2008. Linear convergence of an adaptive finite element method for the $p$-Laplacian equation. SIAM Journal on Numerical Analysis, 46(2), p 614-638.

  PUB | DOI | WoS
   
• [16]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913528

  Diening, L., Málek, J., & Steinhauer, M., 2008. On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. ESAIM. Control, Optimisation and Calculus of Variations, 14(2), p 211-232.

  PUB | DOI | WoS
   
• [15]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913534

  Diening, L., & Růžička, M., 2007. Interpolation operators in Orlicz-Sobolev spaces. Numerische Mathematik, 107(1), p 107-129.

  PUB | DOI | WoS
   
• [14]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913532

  Diening, L., & Samko, S.G., 2007. Hardy inequality in variable exponent Lebesgue spaces. Fractional Calculus & Applied Analysis. An International Journal for Theory and Applications, 10(1), p 1-18.

  PUB
   
• [13]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913531

  Diening, L., & Hästö, P., 2007. Variable exponent trace spaces. Studia Mathematica, 183(2), p 127-141.

  PUB | DOI | WoS
   
• [12]
  

  2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913530

  Růžička, M., & Diening, L., 2007. Non-Newtonian fluids and function spaces. In J. Rákosník, ed. Nonlinear analysis, function spaces and applications. Proceedings of the Spring School held in Prague, May 30-June 6, 2006. Vol. 8. Praha: Institute of Mathematics of the Academy of Sciences of the Czech Republic, pp. 95-143.

  PUB
   
• [11]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913535

  Diening, L., Ebmeyer, C., & Růžička, M., 2007. Optimal convergence for the implicit space-time discretization of parabolic systems with $p$-structure. SIAM Journal on Numerical Analysis, 45(2), p 457-472.

  PUB | DOI | WoS
   
• [10]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913533

  Diening, L., Ettwein, F., & Růžička, M., 2007. $C^{1,\alpha}$-regularity for electrorheological fluids in two dimensions. NoDEA. Nonlinear Differential Equations and Applications, 14(1-2), p 207-217.

  PUB | DOI | WoS
   
• [9]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913536

  Diening, L., Prohl, A., & Růžička, M., 2006. Semi-implicit Euler scheme for generalized Newtonian fluids. SIAM Journal on Numerical Analysis, 44(3), p 1172-1190.

  PUB | DOI | WoS
   
• [8]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913537

  Diening, L., & Růžička, M., 2005. Strong solutions for generalized Newtonian fluids. Journal of Mathematical Fluid Mechanics, 7(3), p 413-450.

  PUB | DOI | WoS
   
• [7]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913538

  Diening, L., 2005. Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces. Bulletin des Sciences Mathématiques, 129(8), p 657-700.

  PUB | DOI | WoS
   
• [6]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913542

  Diening, L., 2004. Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces $L^{p(\cdot)}$ and $W^{k,p(\cdot)}$. Mathematische Nachrichten, 268(1), p 31-43.

  PUB | DOI | WoS
   
• [5]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913539

  Diening, L., & Růžička, M., 2004. Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. II. Journal of Mathematical Analysis and Applications, 298(2), p 572-588.

  PUB | DOI | WoS
   
• [4]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913541

  Diening, L., 2004. Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$. Mathematical Inequalities & Applications, 7(2), p 245-253.

  PUB | DOI
   
• [3]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913540

  Diening, L., & Růžička, M., 2004. Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. I. Journal of Mathematical Analysis and Applications, 298(2), p 559-571.

  PUB | DOI | WoS
   
• [2]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913543

  Diening, L., & Růžička, M., 2003. 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, p 197-220.

  PUB | DOI
   
• [1]
  

  2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913544

  Diening, L., Prohl, A., & Růžička, M., 2002. On time discretizations for generalized Newtonian fluids. In M. S. Birman, et al., eds. Nonlinear problems in mathematical physics and related topics: in honor of Professor O. A. Ladyzhenskaya, Vol. 2. International Mathematical Series. no.2 New York, NY: Kluwer/Plenum, pp. 89-118.

  PUB | DOI