Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth

DOI10.3934/dcds.2004.10.617zbMath1205.35118OpenAlexW2051251007MaRDI QIDQ1433442

Jiabao Su, Zhaoli Liu

Publication date: 18 June 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.617

zbMATH Keywords

multiplicity of solutionsvariational approachelliptic boundary value problem

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) Optimality conditions for problems in abstract spaces (49K27)

Related Items (6)

Three solutions for a perturbed Dirichlet boundary value problem involving the \(p\)-Laplacian ⋮ Perturbation from Dirichlet problem involving oscillating nonlinearities ⋮ Existence of solutions for a perturbed Dirichlet problem without growth conditions ⋮ Radial solutions of Dirichlet problems with concave-convex nonlinearities ⋮ A semilinear elliptic equation with double resonance ⋮ A multiplicity theorem for the Neumann problem

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