On compactness conditions for the \(p\)-Laplacian

DOI10.3934/cpaa.2016.15.715zbMath1335.35035OpenAlexW2523827384MaRDI QIDQ256256

Pavel Jirásek

Publication date: 9 March 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.715

zbMATH Keywords

Palais-Smale conditionboundary value problemsvariational methods\(p\)-LaplacianFredholm alternative

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Poincaré inequality and Palais-Smale condition for the \(p\)-Laplacian
• An improved Poincaré inequality and the \(p\)-Laplacian at resonance for \(p>2\)
• On the number and structure of solutions for a Fredholm alternative with the \(p\)-Laplacian.
• Critical point theorems and applications to differential equations
• Methods of Nonlinear Analysis
• On the Fredholm alternative for the p-Laplacian at the first eigenvalue
• The Fredholm alternative for the p-Laplacian: Bifurcation from infinity, existence and multiplicity