Infinitely many solutions of \(p\)-Laplacian equations with limit subcritical growth

DOI10.1007/s10483-007-1010-xzbMath1231.35067OpenAlexW103291847MaRDI QIDQ940441

Di Geng

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-1010-x

zbMATH Keywords

Palais-Smale conditionconcentration-compactness principle\(p\)-Laplacian operatorsasymptotic minimax principlelimit subcritical growth

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

On \(\vec {p}(x)\)-anisotropic problems with Neumann boundary conditions ⋮ N-Laplacian Equations in ℝ^N with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition ⋮ Infinitely many solutions for \(p\)-harmonic equation with singular term ⋮ Multiple solutions for superlinear Dirichlet problems with an indefinite potential ⋮ Multiple solutions of a superlinearp-Laplacian equation without AR-condition

Cites Work

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• Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Remarks on finding critical points
• Generalized distance and existence theorems in complete metric spaces

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