Existence and multiplicity results for some eigenvalue problems involving variable exponents

DOI10.1016/J.NA.2012.12.007zbMath1260.35082OpenAlexW1975122797MaRDI QIDQ1937576

Sami Aouaoui

Publication date: 1 March 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.12.007

zbMATH Keywords

mountain pass theoremeigenvalue problemvariational methodvariable exponentEkeland's lemma

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 (35J62)

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Existence and multiplicity of positive solutions to quasilinear elliptic equations with two parameters ⋮ Hölder continuity of quasiminimizers with nonstandard growth ⋮ Positive solutions for a class of \(p(x)\)-Laplacian equation involving concave-convex nonlinearities ⋮ INFINITELY MANY LOW- AND HIGH-ENERGY SOLUTIONS FOR A CLASS OF ELLIPTIC EQUATIONS WITH VARIABLE EXPONENT

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