Regularity of weak solutions for a class of elliptic PDEs in Orlicz-Sobolev spaces

DOI10.12775/TMNA.2019.106zbMath1448.35225OpenAlexW3033395118WikidataQ114058230 ScholiaQ114058230MaRDI QIDQ2194626

Karol Wroński, Jakub Maksymiuk

Publication date: 4 September 2020

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1591908344

zbMATH Keywords

regularityOrlicz-Sobolev spaces.quasilnear elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Integrability and boundedness of solutions to some anisotropic problems
• Regularity of minimizers under limit growth conditions
• Local boundedness of solutions to quasilinear elliptic systems
• Regularity for elliptic equations with general growth conditions
• Regularity under sharp anisotropic general growth conditions
• Local boundedness of minimizers of anisotropic functionals
• Pointwise bounds for minimizers of some anisotropic functionals
• Existence and regularity results for weak solutions to \((p,q)\)-elliptic systems in divergence form
• Regularity for general functionals with double phase
• Existence and regularity for elliptic equations under \(p,q\)-growth
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Dirichlet problems for fully anisotropic elliptic equations
• Boundedness of Solutions to Anisotropic Variational Problems
• Function Spaces
• On the Lipschitz regularity of minimizers of anisotropic functionals

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