109 Publikationen
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960477Khripunova 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
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2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2968491Diening, 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
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2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967853Diening, 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
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960478Diening, 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
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913486Diening, 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
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913487Breit, 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
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913492Dahlke, 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
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913489Abels, 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
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913491Diening, 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
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2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913493Berselli, 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
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913498Abels, 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
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2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913500Diening, L., and Schwarzacher, S. (2013). On the key estimate for variable exponent spaces. Azerbaijan Journal of Mathematics 3, 62-69.PUB
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942128Diening, 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
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942123Diening, 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
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942116Diening, 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
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942111Diening, 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
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942114Diening, 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
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942113Diening, 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
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2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913518Diening, 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.)
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2010 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2913517Diening, 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
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2009 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2942118Diening, 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
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2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913522Diening, 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
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2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913526Cruz-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
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2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913528Diening, 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
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2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913532Diening, 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
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913530Růžička, 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
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2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913543Diening, 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
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2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913544Diening, 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