Remarks on Stampacchia lemma

DOI10.1016/J.JMAA.2017.08.056zbMath1378.35057OpenAlexW2761633914WikidataQ124935902 ScholiaQ124935902MaRDI QIDQ1674375

Lianhong Wang, Francesco Leonetti, Hongya Gao

Publication date: 2 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.08.056

zbMATH Keywords

anisotropic boundary value problemsregularity of entropy solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (12)

Global Integrability for Solutions to Obstacle Problems ⋮ Regularity for minimizing sequences of some variational integrals ⋮ Regularity for entropy solutions to degenerate elliptic equations ⋮ Regularity for entropy solutions to degenerate elliptic equations with a convection term ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ Gradient estimates for entropy solutions to elliptic equations with degenerate coercivity ⋮ Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems ⋮ Regularity for anisotropic elliptic equations with degenerate coercivity ⋮ Global regularity for minimizers of some anisotropic variational integrals ⋮ A nonlinear homotopy between two linear Dirichlet problems ⋮ Regularity for minimizers with positive Jacobian ⋮ Unnamed Item

Cites Work

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• Integrability and boundedness of solutions to some anisotropic problems
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Existence results for nonlinear elliptic equations with degenerate coercivity
• Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data
• On the theory of embedding of anisotropic Sobolev spaces
• On the improvement of summability of generalized solutions of the Dirichlet problem for nonlinear equations of the fourth order with strengthened ellipticity
• Estimates for \(p\)-Poisson equations

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