Multiple solutions of a class of Neumann problem for semilinear elliptic equations

DOI10.1016/j.na.2005.03.088zbMath1112.35071OpenAlexW2014300276MaRDI QIDQ2486631

Xing-Ping Wu, Chun-Lei Tang

Publication date: 5 August 2005

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.2005.03.088

zbMATH Keywords

Semilinear elliptic equationSobolev embedding theoremNeumann problemCritical pointThe Implicit Function Theorem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Perturbations in context of PDEs (35B20)

Related Items (5)

Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations ⋮ Multiplicity results for a perturbed elliptic Neumann problem ⋮ Existence and continuation of solutions for a nonlinear Neumann problem ⋮ Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited

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