109 Publikationen

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  • [109]
    2024 | Preprint | PUB-ID: 2986868
    Diening, L., Kim, K., Lee, H. - S., and Nowak, S. N. (2024). Nonlinear nonlocal potential theory at the gradient level. arXiv:2402.04809.
    PUB | arXiv
     
  • [108]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984029
    Behn, L., and Diening, L. (2024). Global regularity for nonlinear systems with symmetric gradients. Calculus of Variations and Partial Differential Equations 63:60.
    PUB | DOI | WoS | arXiv | Preprint
     
  • [107]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984527
    Khripunova Balci, A., Diening, L., and Storn, J. (2023). Relaxed Kačanov Scheme for the p-Laplacian with Large Exponent. SIAM Journal on Numerical Analysis 61, 2775-2794.
    PUB | DOI | WoS | arXiv | Preprint
     
  • [106]
    2023 | Preprint | PUB-ID: 2986005
    Khripunova Balci, A., Diening, L., and Salgado, A. J. (2023). Numerical approximation of variational problems with orthotropic growth. arXiv:2312.15539.
    PUB | arXiv
     
  • [105]
    2023 | Preprint | PUB-ID: 2986004
    Khripunova Balci, A., Diening, L., and Surnachev, M. (2023). Scalar minimizers with maximal singular sets and lack of Meyers property. arXiv:2312.15772.
    PUB | arXiv
     
  • [104]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960477
    Khripunova Balci, A., Byun, S. - S., Diening, L., and Lee, H. - S. (2023). Global Maximal Regularity for Equations with Degenerate Weights. Journal de Mathématiques Pures et Appliquées 177, 484-530.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [103]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2969593
    Diening, L., and Nowak, S. N. (2023). Calderón-Zygmund estimates for the fractional $p$-Laplacian. arXiv: 2303.02116.
    PUB | DOI | arXiv
     
  • [102]
    2023 | Preprint | PUB-ID: 2979131
    Diening, L., Storn, J., and Tscherpel, T. (2023). Grading of Triangulations Generated by Bisection. arXiv:2305.05742.
    PUB | arXiv
     
  • [101]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960128
    Diening, L., Storn, J., and Tscherpel, T. (2023). Interpolation Operator on negative Sobolev Spaces. Mathematics of Computation.
    PUB | DOI | WoS | arXiv | Preprint
     
  • [100]
    2023 | Preprint | PUB-ID: 2979073
    Diening, L., Rolfes, J., and Salgado, A. J. (2023). Pointwise gradient estimate of the ritz projection. arXiv:2305.03575.
    PUB | DOI | arXiv
     
  • [99]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2968491
    Diening, L., Karlovych, O., and 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
     
  • [98]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967853 OA
    Diening, L., Hofmanová, M., and Wichmann, J. (2022). An averaged space–time discretization of the stochastic p-Laplace system. Numerische Mathematik 153.
    PUB | PDF | DOI | Download (ext.) | WoS
     
  • [97]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960478
    Diening, L., Lee, M., and Ok, J. (2022). Parabolic weighted Sobolev-Poincaré type inequalities. Nonlinear Analysis : Theory, Methods & Applications 218:112772.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [96]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962489
    Khripunova Balci, A., Diening, L., Giova, R., and Passarelli di Napoli, A. (2022). Elliptic Equations with Degenerate Weights. SIAM Journal on Mathematical Analysis 54, 2373-2412.
    PUB | DOI | WoS | arXiv
     
  • [95]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2959661
    Diening, L., and Storn, J. (2022). A space-time DPG method for the heat equation. Computers & Mathematics with Applications 105, 41-53.
    PUB | DOI | WoS | arXiv
     
  • [94]
    2022 | Preprint | PUB-ID: 2962502
    Diening, L., Hofmanová, M., and Wichmann, J. (2022). An averaged space-time discretization of the stochastic $p$-Laplace system. arXiv:2204.08929.
    PUB | arXiv
     
  • [93]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962093
    Diening, L., Karlovych, O., and 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
     
  • [92]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957935
    Diening, L., Storn, J., and Tscherpel, T. (2021). On the Sobolev and $L^p$-Stability of the $L^2$-Projection. SIAM Journal on Numerical Analysis 59, 2571-2607.
    PUB | DOI | WoS | arXiv
     
  • [91]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954328 OA
    Diening, L., Storn, J., and Tscherpel, T. (2021). Fortin Operator for the Taylor-Hood Element. Numerische Mathematik 150, 671-689.
    PUB | PDF | DOI | WoS | arXiv
     
  • [90]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958034
    Breit, D., Diening, L., Storn, J., and Wichmann, J. (2021). The parabolic $p$-Laplacian with fractional differentiability. IMA Journal of Numerical Analysis 41, 2110-2138.
    PUB | DOI | WoS
     
  • [89]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960443
    Breit, D., Diening, L., and Gmeineder, F. (2021). The Lipschitz Truncation of Functions of Bounded Variation. Indiana University Mathematics Journal 70, 2237-2260.
    PUB | DOI | WoS
     
  • [88]
    2021 | Preprint | PUB-ID: 2955042
    Diening, L., and Gmeineder, F. (2021). Sharp trace and Korn inequalities for differential operators. arXiv:2105.09570.
    PUB | arXiv
     
  • [87]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956976
    Khripunova Balci, A., Cianchi, A., Diening, L., and Maz’ya, V. (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 OA
    Khripunova Balci, A., Diening, L., and Surnachev, M. (2020). New Examples on Lavrentiev Gap Using Fractals. Calculus of Variations and Partial Differential Equations 59:180.
    PUB | PDF | DOI | WoS | arXiv
     
  • [85]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948394
    Diening, L., Scharle, T., and Süli, E. (2020). Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations. IMA Journal of Numerical Analysis 41, 1846-1898.
    PUB | DOI | WoS | arXiv
     
  • [84]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2951591
    Diening, L., and 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., and Gmeineder, F. (2020). Continuity points via Riesz potentials for $\mathbb{C}$-elliptic operators. The Quarterly Journal of Mathematics 71, 1201-1218.
    PUB | DOI | WoS | arXiv
     
  • [82]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2938742
    Khripunova Balci, A., Diening, L., and Weimar, M. (2020). Higher order Calderon-Zygmund estimates for the p-Laplace equation. Journal of Differential Equations 268, 590-635.
    PUB | DOI | WoS | arXiv
     
  • [81]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941879 OA
    Diening, L., Fornasier, M., Tomasi, R., and Wank, M. (2020). A Relaxed Kaanov iteration for the p-poisson problem. Numerische Mathematik 145, 1-34.
    PUB | PDF | DOI | WoS
     
  • [80]
    2020 | Preprint | PUB-ID: 2943289 OA
    Breit, D., Diening, L., Storn, J., and Wichmann, J. (2020). The parabolic p-Laplacian with fractional differentiability.
    PUB | PDF | arXiv
     
  • [79]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942742
    Breit, D., Diening, L., and Gmeineder, F. (2020). ON THE TRACE OPERATOR FOR FUNCTIONS OF BOUNDED A-VARIATION. ANALYSIS & PDE 13, 559-594.
    PUB | DOI | WoS
     
  • [78]
    2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2948397
    Breit, D., Cianchi, A., Diening, L., and Schwarzacher, S. (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., and Diening, L. (2019). Sharp A-harmonic approximation. APPLICABLE ANALYSIS 98, 374-380.
    PUB | DOI | WoS
     
  • [76]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933908
    Diening, L., Scharle, T., and Schwarzacher, S. (2019). Regularity for parabolic systems of Uhlenbeck type with Orlicz growth. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 472, 46-60.
    PUB | DOI | WoS | arXiv
     
  • [75]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934679
    Bartels, S., Diening, L., and Nochetto, R. H. (2018). Unconditional Stability of Semi-Implicit Discretizations of Singular Flows. SIAM Journal on Numerical Analysis 56, 1896-1914.
    PUB | DOI | WoS
     
  • [74]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930529
    Almeida, A., Diening, L., and Hasto, P. (2018). Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. MATHEMATISCHE NACHRICHTEN 291, 1177-1190.
    PUB | DOI | WoS
     
  • [73]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934680
    Breit, D., Cianchi, A., Diening, L., Kuusi, T., and Schwarzacher, S. (2017). Pointwise Calderón–Zygmund gradient estimates for the p -Laplace system. Journal de Mathématiques Pures et Appliquées 114, 146-190.
    PUB | DOI | WoS
     
  • [72]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913486
    Diening, L., Feireisl, E., and 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, 851-868.
    PUB | DOI | WoS | arXiv
     
  • [71]
    2017 | Preprint | PUB-ID: 2913416
    Diening, L., Fornasier, M., and 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., and Diening, L. (2017). Trace-free Korn inequalities in Orlicz spaces. SIAM Journal on Mathematical Analysis 49, 2496-2526.
    PUB | DOI | WoS | arXiv
     
  • [69]
    2017 | Preprint | PUB-ID: 2913415
    Breit, D., Diening, L., and 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., Schwarzacher, S., Stroffolini, B., and Verde, A. (2017). Parabolic Lipschitz truncation and Caloric Approximation. Calculus of Variations and Partial Differential Equations 56:120.
    PUB | DOI | WoS | arXiv
     
  • [67]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913487
    Breit, D., Cianchi, A., Diening, L., Kuusi, T., and Schwarzacher, S. (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, 200-212.
    PUB | DOI | WoS
     
  • [66]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913419
    Bulíček, M., Diening, L., and Schwarzacher, S. (2016). Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems. Analysis & PDE 9, 1115-1151.
    PUB | DOI | WoS | arXiv
     
  • [65]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913490
    Berselli, L. C., Breit, D., and Diening, L. (2016). Convergence analysis for a finite element approximation of a steady model for electrorheological fluids. Numerische Mathematik 132, 657-689.
    PUB | DOI | WoS | arXiv
     
  • [64]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913492
    Dahlke, S., Diening, L., Hartmann, C., Scharf, B., and Weimar, M. (2016). Besov regularity of solutions to the $p$-Poisson equation. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 130, 298-329.
    PUB | DOI | WoS | arXiv
     
  • [63]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913489
    Abels, H., Diening, L., and Terasawa, Y. (2016). “Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows” in Recent developments of mathematical fluid mechanics, Amann, H., Giga, Y., Kozono, H., Okamoto, H., and Yamazaki, M. eds. Advances in Mathematical Fluid Mechanics (Basel: Birkhäuser), 13-23.
    PUB
     
  • [62]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913491
    Diening, L., Kreuzer, C., and 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, 33-68.
    PUB | DOI | WoS | arXiv
     
  • [61]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913493
    Berselli, L. C., Diening, L., and 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, 680-697.
    PUB | DOI | WoS | arXiv
     
  • [60]
    2015 | Preprint | PUB-ID: 2913420
    Breit, D., Cianchi, A., Diening, L., Kuusi, T., and Schwarzacher, S. (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., and Schwarzacher, S. (2015). Finite element approximation of the $p(\cdot)$-Laplacian. SIAM Journal on Numerical Analysis 53, 551-572.
    PUB | DOI | WoS | arXiv
     
  • [58]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913495
    Diening, L., Kaplicky, P., and Schwarzacher, S. (2014). Campanato estimates for the generalized Stokes System. Annali di Matematica Pura ed Applicata. Series IV 193, 1779-1794.
    PUB | DOI | WoS | arXiv
     
  • [57]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913498
    Abels, H., Diening, L., and 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, 149-157.
    PUB | DOI | WoS | arXiv
     
  • [56]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913497
    Diening, L., and Schwarzacher, S. (2014). Global gradient estimates for the $p(\cdot)$-Laplacian. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 106, 70-85.
    PUB | DOI | WoS | arXiv
     
  • [55]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913496
    Diening, L., Kröner, D., Růžička, M., and Toulopoulos, I. (2014). A local discontinuous Galerkin approximation for systems with $p$-structure. IMA Journal of Numerical Analysis 34, 1447-1488.
    PUB | DOI | WoS
     
  • [54]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913501
    Diening, L., Kreuzer, C., and Schwarzacher, S. (2013). Convex hull property and maximum principle for finite element minimisers of general convex functionals. Numerische Mathematik 124, 685-700.
    PUB | DOI | WoS | arXiv
     
  • [53]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961647
    Diening, L., Lindqvist, P., and Kawohl, B. (2013). Mini-Workshop: The p-Laplacian Operator and Applications. Oberwolfach Reports 10, 433-482.
    PUB | DOI
     
  • [52]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913503
    Diening, L., Kreuzer, C., and Süli, E. (2013). Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. SIAM Journal on Numerical Analysis 51, 984-1015.
    PUB | DOI | WoS | arXiv
     
  • [51]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913500
    Diening, L., and Schwarzacher, S. (2013). On the key estimate for variable exponent spaces. Azerbaijan Journal of Mathematics 3, 62-69.
    PUB
     
  • [50]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913499
    Breit, D., Diening, L., and Schwarzacher, S. (2013). Solenoidal Lipschitz truncation for parabolic PDEs. Mathematical Models and Methods in Applied Sciences 23, 2671-2700.
    PUB | DOI | WoS | arXiv
     
  • [49]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913502
    Diening, L., and Kaplicky, P. (2013). $L^q$ theory for a generalized Stokes system. Manuscripta Mathematica 141, 333-361.
    PUB | DOI | WoS
     
  • [48]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913508
    Breit, D., Diening, L., and Fuchs, M. (2012). Solenoidal Lipschitz truncation and applications in fluid mechanics. Journal of Differential Equations 253, 1910-1942.
    PUB | DOI | WoS
     
  • [47]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913510
    Belenki, L., Diening, L., and Kreuzer, C. (2012). Optimality of an adaptive finite element method for the $p$-Laplacian equation. IMA Journal of Numerical Analysis 32, 484-510.
    PUB | DOI | WoS
     
  • [46]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913506
    Breit, D., and Diening, L. (2012). Sharp conditions for Korn inequalities in Orlicz spaces. Journal of Mathematical Fluid Mechanics 14, 565-573.
    PUB | DOI | WoS
     
  • [45]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913505
    Diening, L., Nägele, P., and Růžička, M. (2012). Monotone operator theory for unsteady problems in variable exponent spaces. Complex Variables and Elliptic Equations. An International Journal 57, 1209-1231.
    PUB | DOI | WoS
     
  • [44]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913504
    Diening, L., Lengeler, D., Stroffolini, B., and Verde, A. (2012). Partial regularity for minimizers of quasi-convex functionals with general growth. SIAM Journal on Mathematical Analysis 44, 3594-3616.
    PUB | DOI | WoS | arXiv
     
  • [43]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913509
    Belenki, L., Berselli, L. C., Diening, L., and Růžička, M. (2012). On the finite element approximation of $p$-Stokes systems. SIAM Journal on Numerical Analysis 50, 373-397.
    PUB | DOI | WoS
     
  • [42]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913511
    Diening, L., Kaplicky, P., and Schwarzacher, S. (2012). BMO estimates for the $p$-Laplacian. Nonlinear Analysis. Theory, Methods & Applications. An international multidisciplinary journal 75, 637-650.
    PUB | DOI | WoS
     
  • [41]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913507
    Diening, L., Stroffolini, B., and Verde, A. (2012). The $\phi$-harmonic approximation and the regularity of $\phi$-harmonic maps. Journal of Differential Equations 253, 1943-1958.
    PUB | DOI | WoS
     
  • [40]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942128
    Diening, L., Harjulehto, P., Hästö, P., and Růžička, M. (2011). “The Maximal Operator” in Lebesgue and Sobolev Spaces with Variable Exponents, Diening, L., Harjuletho, P., Hästö, P., and Ruzicka, M. eds. Lecture Notes in Mathematics, vol. 2017, (Berlin, Heidelberg: Springer ), 99-141.
    PUB | DOI
     
  • [39]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942123
    Diening, L., Harjulehto, P., Hästö, P., and Růžička, M. (2011). “PDEs and Fluid Dynamics” in Lebesgue and Sobolev Spaces with Variable Exponents, Diening, L., Harjuletho, P., Hästö, P., and Ruzicka, M. eds. Lecture Notes in Mathematics, vol. 2017, (Berlin, Heidelberg: Springer ), 437-481.
    PUB | DOI
     
  • [38]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942116
    Diening, L., Harjulehto, P., Hästö, P., and Růžička, M. (2011). “Dirichlet Energy Integral and Laplace Equation” in Lebesgue and Sobolev Spaces with Variable Exponents, Diening, L., Harjuletho, P., Hästö, P., and Ruzicka, M. eds. Lecture Notes in Mathematics, vol. 2017, (Berlin, Heidelberg: Springer), 401-436.
    PUB | DOI
     
  • [37]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942111
    Diening, L., Harjulehto, P., Hästö, P., and Růžička, M. (2011). “A Framework for Function Spaces” in Lebesgue and Sobolev Spaces with Variable Exponents, Diening, L., Harjuletho, P., Hästö, P., and Ruzicka, M. eds. Lecture Notes in Mathematics, vol. 2017, (Berlin, Heidelberg: Springer ), 21-68.
    PUB | DOI
     
  • [36]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942114
    Diening, L., Harjulehto, P., Hästö, P., and Růžička, M. (2011). “Classical Operators” in Lebesgue and Sobolev Spaces with Variable Exponents, Diening, L., Harjuletho, P., Hästö, P., and Ruzicka, M. eds. Lecture Notes in Mathematics, vol. 2017, (Berlin, Heidelberg: Springer), 199-212.
    PUB | DOI
     
  • [35]
    2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942113
    Diening, L., Harjulehto, P., Hästö, P., and Růžička, M. (2011). “Capacities” in Lebesgue and Sobolev Spaces with Variable Exponents, Diening, L., Harjuletho, P., Hästö, P., and Ruzicka, M. eds. Lecture notes in mathematics, vol. 2017, (Berlin, Heidelberg: Springer ), 315-338.
    PUB | DOI
     
  • [34]
    2011 | Monographie | Veröffentlicht | PUB-ID: 2913515
    Diening, L., Harjulehto, P., Hästö, P., and Růžička, M. (2011). Lebesgue and Sobolev spaces with variable exponents. Lecture Notes in Mathematics, 2017, Berlin ; Heidelberg: Springer.
    PUB | DOI | WoS
     
  • [33]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913513
    Diening, L., Lengeler, D., and Růžička, M. (2011). The Stokes and Poisson problem in variable exponent spaces. Complex Variables and Elliptic Equations. An International Journal 56, 789-811.
    PUB | DOI | WoS | arXiv
     
  • [32]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913512
    Cruz-Uribe, D., Diening, L., and Hästö, P. (2011). The maximal operator on weighted variable Lebesgue spaces. Fractional Calculus and Applied Analysis. An International Journal for Theory and Applications 14, 361-374.
    PUB | DOI | WoS
     
  • [31]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913516
    Diening, L., Stroffolini, B., and Verde, A. (2011). Lipschitz regularity for some asymptotically convex problems. ESAIM. Control, Optimisation and Calculus of Variations 17, 178-189.
    PUB | DOI | WoS
     
  • [30]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913514
    Diening, L., and Samko, S. G. (2011). On potentials in generalized Hölder spaces over uniform domains in $\Bbb R^n$. Revista Matemática Complutense 24, 357-373.
    PUB | DOI | WoS
     
  • [29]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913520
    Diening, L., and Růžička, M. (2010). An existence result for non-Newtonian fluids in non-regular domains. Discrete and Continuous Dynamical Systems. Series S 3, 255-268.
    PUB | DOI | WoS
     
  • [28]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913518
    Diening, L., Růžička, M., and 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, 1-46.
    PUB | Download (ext.)
     
  • [27]
    2010 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2913517
    Diening, L., and Fröschl, S. (2010). “Extensions in spaces with variable exponents - the half space” in Harmonic Analysis and Nonlinear Partial Differential Equations, Tsutsumi, Y. ed. RIMS Kokyuroku Bessatsu, vol. B22, (Kyoto, Japan: Research Institute for Mathematical Sciences (RIMS), 71-92.
    PUB
     
  • [26]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913519
    Diening, L., Růžička, M., and Schumacher, K. (2010). A decomposition technique for John domains. Annales Academiæ Scientiarum Fennicæ. Mathematica 35, 87-114.
    PUB | DOI
     
  • [25]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913521
    Berselli, L. C., Diening, L., and Růžička, M. (2010). Existence of strong solutions for incompressible fluids with shear dependent viscosities. Journal of Mathematical Fluid Mechanics 12, 101-132.
    PUB | DOI | WoS
     
  • [24]
    2009 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2942118
    Diening, L., and Hästö, P. (2009). “FURTHER RESULTS ON VARIABLE EXPONENT TRACE SPACES” in More Progresses in Analysis. Proceedings of the 5th International ISAAC Congress , Catania, Italy , 25 – 30 July 2005, Begehr, H. G. W., and Nicolosi, F. eds. (Singapore: World Scientific), 101-106.
    PUB | DOI
     
  • [23]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913523
    Diening, L., Stroffolini, B., and Verde, A. (2009). Everywhere regularity of functionals with φ-growth. Manuscripta Mathematica 129, 449-481.
    PUB | DOI | WoS
     
  • [22]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913522
    Diening, L., Harjulehto, P., Hästö, P., Mizuta, Y., and Shimomura, T. (2009). Maximal functions in variable exponent spaces: limiting cases of the exponent. Annales Academiæ Scientiarum Fennicæ. Mathematica 34, 503-522.
    PUB
     
  • [21]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913525
    Diening, L., Hästö, P., and Roudenko, S. (2009). Function spaces of variable smoothness and integrability. Journal of Functional Analysis 256, 1731-1768.
    PUB | DOI | WoS | arXiv
     
  • [20]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913524
    Berselli, L. C., Diening, L., and 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, 2177-2202.
    PUB | DOI | WoS
     
  • [19]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913526
    Cruz-Uribe, D., Diening, L., and Fiorenza, A. (2009). A new proof of the boundedness of maximal operators on variable Lebesgue spaces. Bollettino della Unione Matematica Italiana. Serie 9 2, 151-173.
    PUB
     
  • [18]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913527
    Diening, L., and Ettwein, F. (2008). Fractional estimates for non-differentiable elliptic systems with general growth. Forum Mathematicum 20, 523-556.
    PUB | DOI | WoS
     
  • [17]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913529
    Diening, L., and Kreuzer, C. (2008). Linear convergence of an adaptive finite element method for the $p$-Laplacian equation. SIAM Journal on Numerical Analysis 46, 614-638.
    PUB | DOI | WoS
     
  • [16]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913528
    Diening, L., Málek, J., and Steinhauer, M. (2008). On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. ESAIM. Control, Optimisation and Calculus of Variations 14, 211-232.
    PUB | DOI | WoS
     
  • [15]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913534
    Diening, L., and Růžička, M. (2007). Interpolation operators in Orlicz-Sobolev spaces. Numerische Mathematik 107, 107-129.
    PUB | DOI | WoS
     
  • [14]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913532
    Diening, L., and Samko, S. G. (2007). Hardy inequality in variable exponent Lebesgue spaces. Fractional Calculus & Applied Analysis. An International Journal for Theory and Applications 10, 1-18.
    PUB
     
  • [13]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913531
    Diening, L., and Hästö, P. (2007). Variable exponent trace spaces. Studia Mathematica 183, 127-141.
    PUB | DOI | WoS
     
  • [12]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913530
    Růžička, M., and Diening, L. (2007). “Non-Newtonian fluids and function spaces” in Nonlinear analysis, function spaces and applications. Proceedings of the Spring School held in Prague, May 30-June 6, 2006. Vol. 8, Rákosník, J. ed. (Praha: Institute of Mathematics of the Academy of Sciences of the Czech Republic), 95-143.
    PUB
     
  • [11]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913535
    Diening, L., Ebmeyer, C., and Růžička, M. (2007). Optimal convergence for the implicit space-time discretization of parabolic systems with $p$-structure. SIAM Journal on Numerical Analysis 45, 457-472.
    PUB | DOI | WoS
     
  • [10]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913533
    Diening, L., Ettwein, F., and Růžička, M. (2007). $C^{1,\alpha}$-regularity for electrorheological fluids in two dimensions. NoDEA. Nonlinear Differential Equations and Applications 14, 207-217.
    PUB | DOI | WoS
     
  • [9]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913536
    Diening, L., Prohl, A., and Růžička, M. (2006). Semi-implicit Euler scheme for generalized Newtonian fluids. SIAM Journal on Numerical Analysis 44, 1172-1190.
    PUB | DOI | WoS
     
  • [8]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913537
    Diening, L., and Růžička, M. (2005). Strong solutions for generalized Newtonian fluids. Journal of Mathematical Fluid Mechanics 7, 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, 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, 31-43.
    PUB | DOI | WoS
     
  • [5]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913539
    Diening, L., and Růžička, M. (2004). Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. II. Journal of Mathematical Analysis and Applications 298, 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, 245-253.
    PUB | DOI
     
  • [3]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913540
    Diening, L., and Růžička, M. (2004). Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. I. Journal of Mathematical Analysis and Applications 298, 559-571.
    PUB | DOI | WoS
     
  • [2]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913543
    Diening, L., and 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, 197-220.
    PUB | DOI
     
  • [1]
    2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913544
    Diening, L., Prohl, A., and Růžička, M. (2002). “On time discretizations for generalized Newtonian fluids” in Nonlinear problems in mathematical physics and related topics: in honor of Professor O. A. Ladyzhenskaya, Vol. 2, Birman, M. S., Hildebrandt, S., Solonnikov, V. A., and Uraltseva, N. N. eds. International Mathematical Series, vol. 2, (New York, NY: Kluwer/Plenum), 89-118.
    PUB | DOI
     

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