Sobolev embeddings involving symmetry

DOI10.1016/J.BULSCI.2005.05.004zbMath1115.46031OpenAlexW1987933863MaRDI QIDQ855489

Wenzhi Wang

Publication date: 7 December 2006

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2005.05.004

zbMATH Keywords

critical exponentcompact embeddingselliptic equationweighted \(L^{p}\) space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)

Related Items (5)

The existence of three solutions for \(p\)-Laplacian problems with critical and supercritical growth ⋮ Solutions of elliptic problems of \(p\)-Laplacian type in a cylindrical symmetric domain ⋮ Spectral density estimates with partial symmetries and an application to Bahri-Lions-type results ⋮ Existence of positive solutions for a class of semilinear and quasilinear elliptic equations with supercritical case ⋮ Compact Sobolev embedding theorems involving symmetry and its application

Cites Work

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• Symétrie et compacité dans les espaces de Sobolev
• Sobolev spaces in the presence of symmetries
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

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