Lars Diening

lars.diening@uni-bielefeld.de
ORCID logo https://orcid.org/0000-0002-0523-3079

PEVZ-ID
94547432

109 Publikationen

Alle markieren

  • [109]
    2024 | Preprint | PUB-ID: 2986868
    L. Diening, et al., “Nonlinear nonlocal potential theory at the gradient level”, arXiv:2402.04809, 2024.
    PUB | arXiv
     
  • [108]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984029
    L. Behn and L. Diening, “Global regularity for nonlinear systems with symmetric gradients”, Calculus of Variations and Partial Differential Equations, vol. 63, 2024, : 60.
    PUB | DOI | WoS | arXiv | Preprint
     
  • [107]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984527
    A. Khripunova Balci, L. Diening, and J. Storn, “Relaxed Kačanov Scheme for the p-Laplacian with Large Exponent”, SIAM Journal on Numerical Analysis, vol. 61, 2023, pp. 2775-2794.
    PUB | DOI | WoS | arXiv | Preprint
     
  • [106]
    2023 | Preprint | PUB-ID: 2986005
    A. Khripunova Balci, L. Diening, and A.J. Salgado, “Numerical approximation of variational problems with orthotropic growth”, arXiv:2312.15539, 2023.
    PUB | arXiv
     
  • [105]
    2023 | Preprint | PUB-ID: 2986004
    A. Khripunova Balci, L. Diening, and M. Surnachev, “Scalar minimizers with maximal singular sets and lack of Meyers property”, arXiv:2312.15772, 2023.
    PUB | arXiv
     
  • [104]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960477
    A. Khripunova Balci, et al., “Global Maximal Regularity for Equations with Degenerate Weights”, Journal de Mathématiques Pures et Appliquées, vol. 177, 2023, pp. 484-530.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [103]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2969593
    L. Diening and S.N. Nowak, “Calderón-Zygmund estimates for the fractional $p$-Laplacian”, arXiv: 2303.02116, 2023.
    PUB | DOI | arXiv
     
  • [102]
    2023 | Preprint | PUB-ID: 2979131
    L. Diening, J. Storn, and T. Tscherpel, “Grading of Triangulations Generated by Bisection”, arXiv:2305.05742, 2023.
    PUB | arXiv
     
  • [101]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960128
    L. Diening, J. Storn, and T. Tscherpel, “Interpolation Operator on negative Sobolev Spaces”, Mathematics of Computation, 2023.
    PUB | DOI | WoS | arXiv | Preprint
     
  • [100]
    2023 | Preprint | PUB-ID: 2979073
    L. Diening, J. Rolfes, and A.J. Salgado, “Pointwise gradient estimate of the ritz projection”, arXiv:2305.03575, 2023.
    PUB | DOI | arXiv
     
  • [99]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2968491
    L. Diening, O. Karlovych, and E. Shargorodsky, “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
     
  • [98]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967853 OA
    L. Diening, M. Hofmanová, and J. Wichmann, “An averaged space–time discretization of the stochastic p-Laplace system”, Numerische Mathematik, vol. 153, 2022.
    PUB | PDF | DOI | Download (ext.) | WoS
     
  • [97]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960478
    L. Diening, M. Lee, and J. Ok, “Parabolic weighted Sobolev-Poincaré type inequalities”, Nonlinear Analysis : Theory, Methods & Applications , vol. 218, 2022, : 112772.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [96]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962489
    A. Khripunova Balci, et al., “Elliptic Equations with Degenerate Weights”, SIAM Journal on Mathematical Analysis, vol. 54, 2022, pp. 2373-2412.
    PUB | DOI | WoS | arXiv
     
  • [95]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2959661
    L. Diening and J. Storn, “A space-time DPG method for the heat equation”, Computers & Mathematics with Applications, vol. 105, 2022, pp. 41-53.
    PUB | DOI | WoS | arXiv
     
  • [94]
    2022 | Preprint | PUB-ID: 2962502
    L. Diening, M. Hofmanová, and J. Wichmann, “An averaged space-time discretization of the stochastic $p$-Laplace system”, arXiv:2204.08929, 2022.
    PUB | arXiv
     
  • [93]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962093
    L. Diening, O. Karlovych, and E. Shargorodsky, “On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded”, Georgian Mathematical Journal, 2022.
    PUB | DOI | WoS
     
  • [92]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957935
    L. Diening, J. Storn, and T. Tscherpel, “On the Sobolev and $L^p$-Stability of the $L^2$-Projection”, SIAM Journal on Numerical Analysis, vol. 59, 2021, pp. 2571-2607.
    PUB | DOI | WoS | arXiv
     
  • [91]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954328 OA
    L. Diening, J. Storn, and T. Tscherpel, “Fortin Operator for the Taylor-Hood Element”, Numerische Mathematik , vol. 150, 2021, pp. 671-689.
    PUB | PDF | DOI | WoS | arXiv
     
  • [90]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958034
    D. Breit, et al., “The parabolic $p$-Laplacian with fractional differentiability”, IMA Journal of Numerical Analysis, vol. 41, 2021, pp. 2110-2138.
    PUB | DOI | WoS
     
  • [89]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960443
    D. Breit, L. Diening, and F. Gmeineder, “The Lipschitz Truncation of Functions of Bounded Variation”, Indiana University Mathematics Journal , vol. 70, 2021, pp. 2237-2260.
    PUB | DOI | WoS
     
  • [88]
    2021 | Preprint | PUB-ID: 2955042
    L. Diening and F. Gmeineder, “Sharp trace and Korn inequalities for differential operators”, arXiv:2105.09570, 2021.
    PUB | arXiv
     
  • [87]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956976
    A. Khripunova Balci, et al., “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 OA
    A. Khripunova Balci, L. Diening, and M. Surnachev, “New Examples on Lavrentiev Gap Using Fractals”, Calculus of Variations and Partial Differential Equations, vol. 59, 2020, : 180.
    PUB | PDF | DOI | WoS | arXiv
     
  • [85]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948394
    L. Diening, T. Scharle, and E. Süli, “Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations”, IMA Journal of Numerical Analysis , vol. 41, 2020, pp. 1846-1898.
    PUB | DOI | WoS | arXiv
     
  • [84]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2951591
    L. Diening and C. Kreuzer, “On the Threshold Condition for Dörfler Marking”, Computational Methods in Applied Mathematics, 2020.
    PUB | DOI | WoS | arXiv
     
  • [83]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948395
    L. Diening and F. Gmeineder, “Continuity points via Riesz potentials for $\mathbb{C}$-elliptic operators”, The Quarterly Journal of Mathematics, vol. 71, 2020, pp. 1201-1218.
    PUB | DOI | WoS | arXiv
     
  • [82]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2938742
    A. Khripunova Balci, L. Diening, and M. Weimar, “Higher order Calderon-Zygmund estimates for the p-Laplace equation”, Journal of Differential Equations, vol. 268, 2020, pp. 590-635.
    PUB | DOI | WoS | arXiv
     
  • [81]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941879 OA
    L. Diening, et al., “A Relaxed Kaanov iteration for the p-poisson problem”, Numerische Mathematik, vol. 145, 2020, pp. 1-34.
    PUB | PDF | DOI | WoS
     
  • [80]
    2020 | Preprint | PUB-ID: 2943289 OA
    D. Breit, et al., “The parabolic p-Laplacian with fractional differentiability”, 2020.
    PUB | PDF | arXiv
     
  • [79]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942742
    D. Breit, L. Diening, and F. Gmeineder, “ON THE TRACE OPERATOR FOR FUNCTIONS OF BOUNDED A-VARIATION”, ANALYSIS & PDE, vol. 13, 2020, pp. 559-594.
    PUB | DOI | WoS
     
  • [78]
    2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2948397
    D. Breit, et al., “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
    D. Cruz-Uribe and L. Diening, “Sharp A-harmonic approximation”, APPLICABLE ANALYSIS, vol. 98, 2019, pp. 374-380.
    PUB | DOI | WoS
     
  • [76]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933908
    L. Diening, T. Scharle, and S. Schwarzacher, “Regularity for parabolic systems of Uhlenbeck type with Orlicz growth”, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 472, 2019, pp. 46-60.
    PUB | DOI | WoS | arXiv
     
  • [75]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934679
    S. Bartels, L. Diening, and R.H. Nochetto, “Unconditional Stability of Semi-Implicit Discretizations of Singular Flows”, SIAM Journal on Numerical Analysis, vol. 56, 2018, pp. 1896-1914.
    PUB | DOI | WoS
     
  • [74]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930529
    A. Almeida, L. Diening, and P. Hasto, “Homogeneous variable exponent Besov and Triebel-Lizorkin spaces”, MATHEMATISCHE NACHRICHTEN, vol. 291, 2018, pp. 1177-1190.
    PUB | DOI | WoS
     
  • [73]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934680
    D. Breit, et al., “Pointwise Calderón–Zygmund gradient estimates for the p -Laplace system”, Journal de Mathématiques Pures et Appliquées, vol. 114, 2017, pp. 146-190.
    PUB | DOI | WoS
     
  • [72]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913486
    L. Diening, E. Feireisl, and Y. Lu, “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, vol. 23, 2017, pp. 851-868.
    PUB | DOI | WoS | arXiv
     
  • [71]
    2017 | Preprint | PUB-ID: 2913416
    L. Diening, M. Fornasier, and M. Wank, “A Relaxed Kačanov Iteration for the $p$-Poisson Problem”, arXiv:1702.03844, 2017.
    PUB | arXiv
     
  • [70]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913485
    D. Breit, A. Cianchi, and L. Diening, “Trace-free Korn inequalities in Orlicz spaces”, SIAM Journal on Mathematical Analysis, vol. 49, 2017, pp. 2496-2526.
    PUB | DOI | WoS | arXiv
     
  • [69]
    2017 | Preprint | PUB-ID: 2913415
    D. Breit, L. Diening, and F. Gmeineder, “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
    L. Diening, et al., “Parabolic Lipschitz truncation and Caloric Approximation”, Calculus of Variations and Partial Differential Equations, vol. 56, 2017, : 120.
    PUB | DOI | WoS | arXiv
     
  • [67]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913487
    D. Breit, et al., “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, vol. 153, 2017, pp. 200-212.
    PUB | DOI | WoS
     
  • [66]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913419
    M. Bulíček, L. Diening, and S. Schwarzacher, “Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems”, Analysis & PDE, vol. 9, 2016, pp. 1115-1151.
    PUB | DOI | WoS | arXiv
     
  • [65]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913490
    L.C. Berselli, D. Breit, and L. Diening, “Convergence analysis for a finite element approximation of a steady model for electrorheological fluids”, Numerische Mathematik, vol. 132, 2016, pp. 657-689.
    PUB | DOI | WoS | arXiv
     
  • [64]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913492
    S. Dahlke, et al., “Besov regularity of solutions to the $p$-Poisson equation”, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal, vol. 130, 2016, pp. 298-329.
    PUB | DOI | WoS | arXiv
     
  • [63]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913489
    H. Abels, L. Diening, and Y. Terasawa, “Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows”, Recent developments of mathematical fluid mechanics, H. Amann, et al., eds., Advances in Mathematical Fluid Mechanics, Basel: Birkhäuser, 2016, pp.13-23.
    PUB
     
  • [62]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913491
    L. Diening, C. Kreuzer, and R. Stevenson, “Instance optimality of the adaptive maximum strategy”, Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics, vol. 16, 2016, pp. 33-68.
    PUB | DOI | WoS | arXiv
     
  • [61]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913493
    L.C. Berselli, L. Diening, and M. Růžička, “Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids”, IMA Journal of Numerical Analysis, vol. 35, 2015, pp. 680-697.
    PUB | DOI | WoS | arXiv
     
  • [60]
    2015 | Preprint | PUB-ID: 2913420
    D. Breit, et al., “Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system”, arXiv:1510.02612, 2015.
    PUB | arXiv
     
  • [59]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913494
    D. Breit, L. Diening, and S. Schwarzacher, “Finite element approximation of the $p(\cdot)$-Laplacian”, SIAM Journal on Numerical Analysis, vol. 53, 2015, pp. 551-572.
    PUB | DOI | WoS | arXiv
     
  • [58]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913495
    L. Diening, P. Kaplicky, and S. Schwarzacher, “Campanato estimates for the generalized Stokes System”, Annali di Matematica Pura ed Applicata. Series IV, vol. 193, 2014, pp. 1779-1794.
    PUB | DOI | WoS | arXiv
     
  • [57]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913498
    H. Abels, L. Diening, and Y. Terasawa, “Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows”, Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal, vol. 15, 2014, pp. 149-157.
    PUB | DOI | WoS | arXiv
     
  • [56]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913497
    L. Diening and S. Schwarzacher, “Global gradient estimates for the $p(\cdot)$-Laplacian”, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal, vol. 106, 2014, pp. 70-85.
    PUB | DOI | WoS | arXiv
     
  • [55]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913496
    L. Diening, et al., “A local discontinuous Galerkin approximation for systems with $p$-structure”, IMA Journal of Numerical Analysis, vol. 34, 2014, pp. 1447-1488.
    PUB | DOI | WoS
     
  • [54]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913501
    L. Diening, C. Kreuzer, and S. Schwarzacher, “Convex hull property and maximum principle for finite element minimisers of general convex functionals”, Numerische Mathematik, vol. 124, 2013, pp. 685-700.
    PUB | DOI | WoS | arXiv
     
  • [53]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961647
    L. Diening, P. Lindqvist, and B. Kawohl, “Mini-Workshop: The p-Laplacian Operator and Applications”, Oberwolfach Reports, vol. 10, 2013, pp. 433-482.
    PUB | DOI
     
  • [52]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913503
    L. Diening, C. Kreuzer, and E. Süli, “Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology”, SIAM Journal on Numerical Analysis, vol. 51, 2013, pp. 984-1015.
    PUB | DOI | WoS | arXiv
     
  • [51]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913500
    L. Diening and S. Schwarzacher, “On the key estimate for variable exponent spaces”, Azerbaijan Journal of Mathematics, vol. 3, 2013, pp. 62-69.
    PUB
     
  • [50]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913499
    D. Breit, L. Diening, and S. Schwarzacher, “Solenoidal Lipschitz truncation for parabolic PDEs”, Mathematical Models and Methods in Applied Sciences, vol. 23, 2013, pp. 2671-2700.
    PUB | DOI | WoS | arXiv
     
  • [49]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913502
    L. Diening and P. Kaplicky, “$L^q$ theory for a generalized Stokes system”, Manuscripta Mathematica, vol. 141, 2013, pp. 333-361.
    PUB | DOI | WoS
     
  • [48]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913508
    D. Breit, L. Diening, and M. Fuchs, “Solenoidal Lipschitz truncation and applications in fluid mechanics”, Journal of Differential Equations, vol. 253, 2012, pp. 1910-1942.
    PUB | DOI | WoS
     
  • [47]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913510
    L. Belenki, L. Diening, and C. Kreuzer, “Optimality of an adaptive finite element method for the $p$-Laplacian equation”, IMA Journal of Numerical Analysis, vol. 32, 2012, pp. 484-510.
    PUB | DOI | WoS
     
  • [46]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913506
    D. Breit and L. Diening, “Sharp conditions for Korn inequalities in Orlicz spaces”, Journal of Mathematical Fluid Mechanics, vol. 14, 2012, pp. 565-573.
    PUB | DOI | WoS
     
  • [45]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913505
    L. Diening, P. Nägele, and M. Růžička, “Monotone operator theory for unsteady problems in variable exponent spaces”, Complex Variables and Elliptic Equations. An International Journal, vol. 57, 2012, pp. 1209-1231.
    PUB | DOI | WoS
     
  • [44]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913504
    L. Diening, et al., “Partial regularity for minimizers of quasi-convex functionals with general growth”, SIAM Journal on Mathematical Analysis, vol. 44, 2012, pp. 3594-3616.
    PUB | DOI | WoS | arXiv
     
  • [43]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913509
    L. Belenki, et al., “On the finite element approximation of $p$-Stokes systems”, SIAM Journal on Numerical Analysis, vol. 50, 2012, pp. 373-397.
    PUB | DOI | WoS
     
  • [42]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913511
    L. Diening, P. Kaplicky, and S. Schwarzacher, “BMO estimates for the $p$-Laplacian”, Nonlinear Analysis. Theory, Methods & Applications. An international multidisciplinary journal, vol. 75, 2012, pp. 637-650.
    PUB | DOI | WoS
     
  • [41]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913507
    L. Diening, B. Stroffolini, and A. Verde, “The $\phi$-harmonic approximation and the regularity of $\phi$-harmonic maps”, Journal of Differential Equations, vol. 253, 2012, pp. 1943-1958.
    PUB | DOI | WoS
     
  • [40]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942128
    L. Diening, et al., “The Maximal Operator”, Lebesgue and Sobolev Spaces with Variable Exponents, L. Diening, et al., eds., Lecture Notes in Mathematics, vol. 2017, Berlin, Heidelberg: Springer , 2011, pp.99-141.
    PUB | DOI
     
  • [39]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942123
    L. Diening, et al., “PDEs and Fluid Dynamics”, Lebesgue and Sobolev Spaces with Variable Exponents, L. Diening, et al., eds., Lecture Notes in Mathematics, vol. 2017, Berlin, Heidelberg: Springer , 2011, pp.437-481.
    PUB | DOI
     
  • [38]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942116
    L. Diening, et al., “Dirichlet Energy Integral and Laplace Equation”, Lebesgue and Sobolev Spaces with Variable Exponents, L. Diening, et al., eds., Lecture Notes in Mathematics, vol. 2017, Berlin, Heidelberg: Springer, 2011, pp.401-436.
    PUB | DOI
     
  • [37]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942111
    L. Diening, et al., “A Framework for Function Spaces”, Lebesgue and Sobolev Spaces with Variable Exponents, L. Diening, et al., eds., Lecture Notes in Mathematics, vol. 2017, Berlin, Heidelberg: Springer , 2011, pp.21-68.
    PUB | DOI
     
  • [36]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942114
    L. Diening, et al., “Classical Operators”, Lebesgue and Sobolev Spaces with Variable Exponents, L. Diening, et al., eds., Lecture Notes in Mathematics, vol. 2017, Berlin, Heidelberg: Springer, 2011, pp.199-212.
    PUB | DOI
     
  • [35]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942113
    L. Diening, et al., “Capacities”, Lebesgue and Sobolev Spaces with Variable Exponents, L. Diening, et al., eds., Lecture notes in mathematics, vol. 2017, Berlin, Heidelberg: Springer , 2011, pp.315-338.
    PUB | DOI
     
  • [34]
    2011 | Monographie | Veröffentlicht | PUB-ID: 2913515
    L. Diening, et al., Lebesgue and Sobolev spaces with variable exponents, Lecture Notes in Mathematics, vol. 2017, Berlin ; Heidelberg: Springer, 2011.
    PUB | DOI | WoS
     
  • [33]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913513
    L. Diening, D. Lengeler, and M. Růžička, “The Stokes and Poisson problem in variable exponent spaces”, Complex Variables and Elliptic Equations. An International Journal, vol. 56, 2011, pp. 789-811.
    PUB | DOI | WoS | arXiv
     
  • [32]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913512
    D. Cruz-Uribe, L. Diening, and P. Hästö, “The maximal operator on weighted variable Lebesgue spaces”, Fractional Calculus and Applied Analysis. An International Journal for Theory and Applications, vol. 14, 2011, pp. 361-374.
    PUB | DOI | WoS
     
  • [31]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913516
    L. Diening, B. Stroffolini, and A. Verde, “Lipschitz regularity for some asymptotically convex problems”, ESAIM. Control, Optimisation and Calculus of Variations, vol. 17, 2011, pp. 178-189.
    PUB | DOI | WoS
     
  • [30]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913514
    L. Diening and S.G. Samko, “On potentials in generalized Hölder spaces over uniform domains in $\Bbb R^n$”, Revista Matemática Complutense, vol. 24, 2011, pp. 357-373.
    PUB | DOI | WoS
     
  • [29]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913520
    L. Diening and M. Růžička, “An existence result for non-Newtonian fluids in non-regular domains”, Discrete and Continuous Dynamical Systems. Series S, vol. 3, 2010, pp. 255-268.
    PUB | DOI | WoS
     
  • [28]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913518
    L. Diening, M. Růžička, and J. Wolf, “Existence of weak solutions for unsteady motions of generalized Newtonian fluids”, Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V, vol. 9, 2010, pp. 1-46.
    PUB | Download (ext.)
     
  • [27]
    2010 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2913517
    L. Diening and S. Fröschl, “Extensions in spaces with variable exponents - the half space”, Harmonic Analysis and Nonlinear Partial Differential Equations, Y. Tsutsumi, ed., RIMS Kokyuroku Bessatsu, vol. B22, Kyoto, Japan: Research Institute for Mathematical Sciences (RIMS), 2010, pp.71-92.
    PUB
     
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913519
    L. Diening, M. Růžička, and K. Schumacher, “A decomposition technique for John domains”, Annales Academiæ Scientiarum Fennicæ. Mathematica, vol. 35, 2010, pp. 87-114.
    PUB | DOI
     
  • [25]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913521
    L.C. Berselli, L. Diening, and M. Růžička, “Existence of strong solutions for incompressible fluids with shear dependent viscosities”, Journal of Mathematical Fluid Mechanics, vol. 12, 2010, pp. 101-132.
    PUB | DOI | WoS
     
  • [24]
    2009 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2942118
    L. Diening and P. Hästö, “FURTHER RESULTS ON VARIABLE EXPONENT TRACE SPACES”, More Progresses in Analysis. Proceedings of the 5th International ISAAC Congress , Catania, Italy , 25 – 30 July 2005, H.G.W. Begehr and F. Nicolosi, eds., Singapore: World Scientific, 2009, pp.101-106.
    PUB | DOI
     
  • [23]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913523
    L. Diening, B. Stroffolini, and A. Verde, “Everywhere regularity of functionals with φ-growth”, Manuscripta Mathematica, vol. 129, 2009, pp. 449-481.
    PUB | DOI | WoS
     
  • [22]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913522
    L. Diening, et al., “Maximal functions in variable exponent spaces: limiting cases of the exponent”, Annales Academiæ Scientiarum Fennicæ. Mathematica, vol. 34, 2009, pp. 503-522.
    PUB
     
  • [21]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913525
    L. Diening, P. Hästö, and S. Roudenko, “Function spaces of variable smoothness and integrability”, Journal of Functional Analysis, vol. 256, 2009, pp. 1731-1768.
    PUB | DOI | WoS | arXiv
     
  • [20]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913524
    L.C. Berselli, L. Diening, and M. Růžička, “Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities”, SIAM Journal on Numerical Analysis, vol. 47, 2009, pp. 2177-2202.
    PUB | DOI | WoS
     
  • [19]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913526
    D. Cruz-Uribe, L. Diening, and A. Fiorenza, “A new proof of the boundedness of maximal operators on variable Lebesgue spaces”, Bollettino della Unione Matematica Italiana. Serie 9, vol. 2, 2009, pp. 151-173.
    PUB
     
  • [18]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913527
    L. Diening and F. Ettwein, “Fractional estimates for non-differentiable elliptic systems with general growth”, Forum Mathematicum, vol. 20, 2008, pp. 523-556.
    PUB | DOI | WoS
     
  • [17]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913529
    L. Diening and C. Kreuzer, “Linear convergence of an adaptive finite element method for the $p$-Laplacian equation”, SIAM Journal on Numerical Analysis, vol. 46, 2008, pp. 614-638.
    PUB | DOI | WoS
     
  • [16]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913528
    L. Diening, J. Málek, and M. Steinhauer, “On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications”, ESAIM. Control, Optimisation and Calculus of Variations, vol. 14, 2008, pp. 211-232.
    PUB | DOI | WoS
     
  • [15]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913534
    L. Diening and M. Růžička, “Interpolation operators in Orlicz-Sobolev spaces”, Numerische Mathematik, vol. 107, 2007, pp. 107-129.
    PUB | DOI | WoS
     
  • [14]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913532
    L. Diening and S.G. Samko, “Hardy inequality in variable exponent Lebesgue spaces”, Fractional Calculus & Applied Analysis. An International Journal for Theory and Applications, vol. 10, 2007, pp. 1-18.
    PUB
     
  • [13]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913531
    L. Diening and P. Hästö, “Variable exponent trace spaces”, Studia Mathematica, vol. 183, 2007, pp. 127-141.
    PUB | DOI | WoS
     
  • [12]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913530
    M. Růžička and L. Diening, “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, J. Rákosník, ed., Praha: Institute of Mathematics of the Academy of Sciences of the Czech Republic, 2007, pp.95-143.
    PUB
     
  • [11]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913535
    L. Diening, C. Ebmeyer, and M. Růžička, “Optimal convergence for the implicit space-time discretization of parabolic systems with $p$-structure”, SIAM Journal on Numerical Analysis, vol. 45, 2007, pp. 457-472.
    PUB | DOI | WoS
     
  • [10]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913533
    L. Diening, F. Ettwein, and M. Růžička, “$C^{1,\alpha}$-regularity for electrorheological fluids in two dimensions”, NoDEA. Nonlinear Differential Equations and Applications, vol. 14, 2007, pp. 207-217.
    PUB | DOI | WoS
     
  • [9]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913536
    L. Diening, A. Prohl, and M. Růžička, “Semi-implicit Euler scheme for generalized Newtonian fluids”, SIAM Journal on Numerical Analysis, vol. 44, 2006, pp. 1172-1190.
    PUB | DOI | WoS
     
  • [8]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913537
    L. Diening and M. Růžička, “Strong solutions for generalized Newtonian fluids”, Journal of Mathematical Fluid Mechanics, vol. 7, 2005, pp. 413-450.
    PUB | DOI | WoS
     
  • [7]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913538
    L. Diening, “Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces”, Bulletin des Sciences Mathématiques, vol. 129, 2005, pp. 657-700.
    PUB | DOI | WoS
     
  • [6]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913542
    L. Diening, “Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces $L^{p(\cdot)}$ and $W^{k,p(\cdot)}$”, Mathematische Nachrichten, vol. 268, 2004, pp. 31-43.
    PUB | DOI | WoS
     
  • [5]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913539
    L. Diening and M. Růžička, “Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. II”, Journal of Mathematical Analysis and Applications, vol. 298, 2004, pp. 572-588.
    PUB | DOI | WoS
     
  • [4]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913541
    L. Diening, “Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$”, Mathematical Inequalities & Applications, vol. 7, 2004, pp. 245-253.
    PUB | DOI
     
  • [3]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913540
    L. Diening and M. Růžička, “Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. I”, Journal of Mathematical Analysis and Applications, vol. 298, 2004, pp. 559-571.
    PUB | DOI | WoS
     
  • [2]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913543
    L. Diening and M. Růžička, “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], vol. 563, 2003, pp. 197-220.
    PUB | DOI
     
  • [1]
    2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913544
    L. Diening, A. Prohl, and M. Růžička, “On time discretizations for generalized Newtonian fluids”, Nonlinear problems in mathematical physics and related topics: in honor of Professor O. A. Ladyzhenskaya, Vol. 2, M.S. Birman, et al., eds., International Mathematical Series, vol. 2, New York, NY: Kluwer/Plenum, 2002, pp.89-118.
    PUB | DOI
     
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