A class of multi-parameter eigenvalue problems for perturbed \(p\)-Laplacians

DOI10.1016/j.jmaa.2011.12.027zbMath1234.35160OpenAlexW1975489643MaRDI QIDQ764925

D. Kharzeev

Publication date: 16 March 2012

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.2011.12.027

zbMATH Keywords

eigenvaluevariational principlecritical pointeigenfunctiontravelling waveanalytical and implicit solutionsperturbed \(p\)-Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Variational methods applied to PDEs (35A15) Traveling wave solutions (35C07) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\)
• On the Fredholm alternative for the \(p\)-Laplacian at higher eigenvalues (in one dimension)
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Regularity for a more general class of quasilinear equations
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• Homoclinic solutions of a fourth-order travelling wave ODE
• Eigenvalue problems for the \(p\)-Laplacian
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Real Interpolation of Sobolev Spaces on Subdomains of Rn

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