Multiplicity of single-bump solutions for semilinear elliptic equations in multi-bump domains

DOI10.1016/j.na.2004.07.045zbMath1113.35076OpenAlexW2073310089MaRDI QIDQ1888596

Tsung-fang Wu

Publication date: 26 November 2004

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.2004.07.045

zbMATH Keywords

semilinear elliptic equationsmultiple solutionsPalais-Smalemulti-bump domains

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items

Multiplicity of nodal solutions for elliptic problems involving non-odd nonlinearities ⋮ Multiplicity of positive solutions for semilinear elliptic problems in unbounded domains ⋮ Multiplicity and concentration of solutions for nonhomogeneous elliptic equations in multi-bump domains ⋮ The effect of domain shape on the number of positive and nodal solutions for semilinear elliptic equations ⋮ Three positive solutions of nonhomogeneous semilinear elliptic equations ⋮ Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains ⋮ Existence of 2–Nodal Solutions for Semilinear Elliptic Equations in Unbounded Domains

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