On the eigenvalue problem for the \(p\)-Laplacian operator in \(\mathbb R^N\)

DOI10.1016/j.jmaa.2011.01.075zbMath1216.35083OpenAlexW1993298799MaRDI QIDQ531893

Xiang-Qing Liu, Jia Quan Liu

Publication date: 20 April 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.075

zbMATH Keywords

eigenvalue problem\(p\)-LaplacianPohožaev identity

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

On a p-Laplacian eigenvalue problem with supercritical exponent ⋮ A third solution to the eigenvalue problem with supercritical exponent ⋮ SIGN-CHANGING SOLUTIONS FOR AN ASYMPTOTICALLY p-LINEAR p-LAPLACIAN EQUATION IN ℝ^N ⋮ Multiplicity results for a class of asymptotically p-linear equations on ℝN ⋮ Superposition operators between Sobolev spaces and a non-existence result of higher-order regular solutions for the \(p\)-Laplacian ⋮ Nontrivial solutions to the \(p\)-harmonic equation with nonlinearity asymptotic to \(|t|^{p-2}t\) at infinity

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