Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations

DOI10.1007/s12215-010-0001-7zbMath1213.35226OpenAlexW2025993821MaRDI QIDQ977312

Florin Isaia, Gheorghe Dinca

Publication date: 21 June 2010

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0001-7

zbMATH Keywords

chain rule\(p(x)\)-LaplacianGeneralized Pucci-Serrin identityGereralized Pohozaev identityNon-existence theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Related Items

Volterra integral equations on variable exponent Lebesgue spaces, On the eigenvalue problem for the \(p\)-Laplacian operator in \(\mathbb R^N\), On a class of \(p(x)\)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions

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