Multiplicity results for quasi-linear problems

DOI10.1016/J.NA.2007.01.013zbMath1135.35338OpenAlexW2081078568MaRDI QIDQ2475134

Abdelrachid El Amrouss, Abdesslem Ayoujil

Publication date: 10 March 2008

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.2007.01.013

zbMATH Keywords

Morse theoryvariational method\(p\)-Laplaciancritical groupmultiple solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35)

Related Items (5)

Multiplicity of solutions for a general \(p(x)\)-Laplacian Dirichlet problem ⋮ Three critical points theorem and its application to quasilinear elliptic equations ⋮ Multiplicity of solutions for a class of the quasilinear elliptic equations at resonance ⋮ Multiplicity results for a class of boundary value problems with impulsive effects ⋮ Application of Morse theory for some damped Dirichlet nonlinear impulsive differential equations

Cites Work

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• Solutions of superlinear at zero elliptic equations via Morse theory
• Critical point theory and Hamiltonian systems
• Infinite dimensional Morse theory and multiple solution problems
• On an asymptotically linear elliptic Dirichlet problem
• Critical point theorems and applications to differential equations
• Existence results for perturbations of the p-Laplacian
• SOLUTIONS OF p-SUBLINEAR p-LAPLACIAN EQUATION VIA MORSE THEORY
• Remarks on multiple nontrivial solutions for quasi-linear resonant problems

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