109 Publikationen
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960477Khripunova Balci, Anna, Byun, Sun-Sig, Diening, Lars, and Lee, Ho-Sik. 2023. “Global Maximal Regularity for Equations with Degenerate Weights”. Journal de Mathématiques Pures et Appliquées 177: 484-530.
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2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2968491Diening, Lars, Karlovych, Oleksiy, and Shargorodsky, Eugene. 2023. “On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded”. Georgian Mathematical Journal.
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2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967853Diening, Lars, Hofmanová, Martina, and Wichmann, Jörn. 2022. “An averaged space–time discretization of the stochastic p-Laplace system”. Numerische Mathematik 153.
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960478Diening, Lars, Lee, Mikyoung, and Ok, Jihoon. 2022. “Parabolic weighted Sobolev-Poincaré type inequalities”. Nonlinear Analysis : Theory, Methods & Applications 218: 112772.
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2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962093Diening, Lars, Karlovych, Oleksiy, and Shargorodsky, Eugene. 2022. “On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded”. Georgian Mathematical Journal.
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934680Breit, Dominic, Cianchi, Andrea, Diening, Lars, Kuusi, Tuomo, and Schwarzacher, Sebastian. 2017. “Pointwise Calderón–Zygmund gradient estimates for the p -Laplace system”. Journal de Mathématiques Pures et Appliquées 114: 146-190.
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913486Diening, Lars, Feireisl, Eduard, and Lu, Yong. 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): 851-868.
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913484Diening, Lars, Schwarzacher, Sebastian, Stroffolini, Bianca, and Verde, Anna. 2017. “Parabolic Lipschitz truncation and Caloric Approximation”. Calculus of Variations and Partial Differential Equations 56 (4): 120.
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913487Breit, Dominic, Cianchi, Andrea, Diening, Lars, Kuusi, Tuomo, and Schwarzacher, Sebastian. 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.
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913492Dahlke, Stephan, Diening, Lars, Hartmann, Christoph, Scharf, Benjamin, and Weimar, Markus. 2016. “Besov regularity of solutions to the $p$-Poisson equation”. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 130: 298-329.
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913489Abels, Helmut, Diening, Lars, and Terasawa, Yutaka. 2016. “Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows”. In Recent developments of mathematical fluid mechanics, ed. Herbert Amann, Yoshikazu Giga, Hideo Kozono, Hisashi Okamoto, and Masao Yamazaki, 13-23. Advances in Mathematical Fluid Mechanics. Basel: Birkhäuser.
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913491Diening, Lars, Kreuzer, Christian, and Stevenson, Rob. 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): 33-68.
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2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913493Berselli, Luigi C., Diening, Lars, and Růžička, Michael. 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): 680-697.
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913498Abels, Helmut, Diening, Lars, and Terasawa, Yutaka. 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.
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913497Diening, Lars, and Schwarzacher, Sebastian. 2014. “Global gradient estimates for the $p(\cdot)$-Laplacian”. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 106: 70-85.
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2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913501Diening, Lars, Kreuzer, Christian, and Schwarzacher, Sebastian. 2013. “Convex hull property and maximum principle for finite element minimisers of general convex functionals”. Numerische Mathematik 124 (4): 685-700.
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2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913503Diening, Lars, Kreuzer, Christian, and Süli, Endre. 2013. “Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology”. SIAM Journal on Numerical Analysis 51 (2): 984-1015.
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2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913500Diening, Lars, and Schwarzacher, Sebastian. 2013. “On the key estimate for variable exponent spaces”. Azerbaijan Journal of Mathematics 3 (2): 62-69.
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2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913505Diening, Lars, Nägele, Philipp, and Růžička, Michael. 2012. “Monotone operator theory for unsteady problems in variable exponent spaces”. Complex Variables and Elliptic Equations. An International Journal 57 (11): 1209-1231.
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2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913504Diening, Lars, Lengeler, Daniel, Stroffolini, Bianca, and Verde, Anna. 2012. “Partial regularity for minimizers of quasi-convex functionals with general growth”. SIAM Journal on Mathematical Analysis 44 (5): 3594-3616.
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942128Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. 2011. “The Maximal Operator”. In Lebesgue and Sobolev Spaces with Variable Exponents, ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka, 2017:99-141. Lecture Notes in Mathematics. Berlin, Heidelberg: Springer .
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942123Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. 2011. “PDEs and Fluid Dynamics”. In Lebesgue and Sobolev Spaces with Variable Exponents, ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka, 2017:437-481. Lecture Notes in Mathematics. Berlin, Heidelberg: Springer .
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942116Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. 2011. “Dirichlet Energy Integral and Laplace Equation”. In Lebesgue and Sobolev Spaces with Variable Exponents, ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka, 2017:401-436. Lecture Notes in Mathematics. Berlin, Heidelberg: Springer.
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942111Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. 2011. “A Framework for Function Spaces”. In Lebesgue and Sobolev Spaces with Variable Exponents, ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka, 2017:21-68. Lecture Notes in Mathematics. Berlin, Heidelberg: Springer .
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942114Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. 2011. “Classical Operators”. In Lebesgue and Sobolev Spaces with Variable Exponents, ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka, 2017:199-212. Lecture Notes in Mathematics. Berlin, Heidelberg: Springer.
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2011 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2942113Diening, Lars, Harjulehto, Petteri, Hästö, Peter, and Růžička, Michael. 2011. “Capacities”. In Lebesgue and Sobolev Spaces with Variable Exponents, ed. Lars Diening, Petteri Harjuletho, Peter Hästö, and Michael Ruzicka, 2017:315-338. Lecture notes in mathematics. Berlin, Heidelberg: Springer .
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2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913512Cruz-Uribe, David, Diening, Lars, and Hästö, Peter. 2011. “The maximal operator on weighted variable Lebesgue spaces”. Fractional Calculus and Applied Analysis. An International Journal for Theory and Applications 14 (3): 361-374.
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2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913518Diening, Lars, Růžička, Michael, and Wolf, Jörg. 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): 1-46.
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2010 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2913517Diening, Lars, and Fröschl, Sascha. 2010. “Extensions in spaces with variable exponents - the half space”. In Harmonic Analysis and Nonlinear Partial Differential Equations, ed. Yashio Tsutsumi, B22:71-92. RIMS Kokyuroku Bessatsu. Kyoto, Japan: Research Institute for Mathematical Sciences (RIMS).
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2009 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2942118Diening, Lars, and Hästö, Peter. 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, ed. Heinrich G. W. Begehr and Francesco Nicolosi, 101-106. Singapore: World Scientific.
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2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913522Diening, Lars, Harjulehto, Petteri, Hästö, Peter, Mizuta, Yoshihiro, and Shimomura, Tetsu. 2009. “Maximal functions in variable exponent spaces: limiting cases of the exponent”. Annales Academiæ Scientiarum Fennicæ. Mathematica 34 (2): 503-522.
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2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913524Berselli, Luigi C., Diening, Lars, and Růžička, Michael. 2009. “Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities”. SIAM Journal on Numerical Analysis 47 (3): 2177-2202.
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2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913526Cruz-Uribe, D., Diening, Lars, 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 (1): 151-173.
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2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913528Diening, Lars, Málek, Josef, and Steinhauer, Mark. 2008. “On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications”. ESAIM. Control, Optimisation and Calculus of Variations 14 (2): 211-232.
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2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913532Diening, Lars, and Samko, Stefan G. 2007. “Hardy inequality in variable exponent Lebesgue spaces”. Fractional Calculus & Applied Analysis. An International Journal for Theory and Applications 10 (1): 1-18.
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913530Růžička, Michael, and Diening, Lars. 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, ed. Jiří Rákosník, 95-143. Praha: Institute of Mathematics of the Academy of Sciences of the Czech Republic.
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2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913543Diening, Lars, and Růžička, Michael. 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.
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2002 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2913544Diening, Lars, Prohl, Andreas, and Růžička, Michael. 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, ed. Michael Sh. Birman, Stefan Hildebrandt, Vsevolod A. Solonnikov, and Nina N. Uraltseva, 2:89-118. International Mathematical Series. New York, NY: Kluwer/Plenum.