Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weightedp-Laplacian

DOI10.1080/17476933.2011.555541zbMath1232.46031OpenAlexW1968285869MaRDI QIDQ3094252

Viorica V. Motreanu, Alexander Ukhlov, Vladimir Gol'dshtein

Publication date: 21 October 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.555541

zbMATH Keywords

Dirichlet problemsweighted Sobolev spacescompact embedding\(p\)-Laplacianquasiconformal mappingsDirichlet spaces

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Brennan's conjecture and universal Sobolev inequalities ⋮ Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p (·)-Laplacian ⋮ Non-homogeneous Dirichlet boundary value problems in weighted Sobolev spaces ⋮ Addendum to: ``Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions ⋮ Weak regularity of degenerate elliptic equations

Cites Work

• On nontrivial solutions of variational-hemivariational inequalities with slowly growing principal parts
• Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Applications of change of variables operators for exact embedding theorems
• A strong maximum principle for differential equations with nonstandard \(p(x)\)-growth conditions
• Weighted Sobolev spaces and embedding theorems
• On a non-smooth eigenvalue problem in Orlicz–Sobolev spaces

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