Perturbations of nonsmooth symmetric nonlinear eigenvalue problems

DOI10.1016/S0764-4442(00)88567-5zbMath0933.35071MaRDI QIDQ4700249

Marco Degiovanni, Vicenţiu D. Rădulescu

Publication date: 1 November 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

Palais-Smale conditioninfinitely many solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Perturbations in context of PDEs (35B20)

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Three solutions for a perturbed Dirichlet boundary value problem involving the \(p\)-Laplacian ⋮ Perturbation from Dirichlet problem involving oscillating nonlinearities ⋮ Looking for the best constant in a Sobolev inequality: a numerical approach ⋮ Multiple solutions for perturbed semilinear Schrödinger equations ⋮ Perturbed asymptotically linear problems ⋮ Detection of arbitrarily many solutions for perturbed elliptic problems involving oscillatory terms ⋮ Existence of three solutions for a perturbed two-point boundary value problem ⋮ The existence of multiple equilibrium points in a global attractor for some symmetric dynamical systems ⋮ Arbitrarily many solutions for a perturbed \(p(x)\)-Laplacian equation involving oscillatory terms ⋮ Perturbations of symmetric eigenvalue problems ⋮ Perturbations from symmetric elliptic boundary value problems ⋮ Existence results of infinitely many solutions forp(x)-Laplacian elliptic Dirichlet problems

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