Existence and multiplicity of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting

DOI10.1016/j.jmaa.2011.11.078zbMath1236.35065OpenAlexW1981160312MaRDI QIDQ663716

Fei Fang, Zhong Tan

Publication date: 27 February 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.2011.11.078

zbMATH Keywords

Orlicz-Sobolev spacesfountain theoremgenus theorysymmetric mountain pass theoremdual fountain theorem

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

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Cites Work

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• Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Mountain pass type solutions for quasilinear elliptic equations
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• On an Elliptic Equation with Concave and Convex Nonlinearities
• Variational Methods
• A multiplicity theorem for problems with the \(p\)-Laplacian
• Nonlinear boundary value problems with concave nonlinearities near the origin

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