Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero

DOI10.1006/jdeq.2001.4015zbMath1165.35378OpenAlexW2057284318MaRDI QIDQ1604506

R. Smith

Publication date: 4 July 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4015

zbMATH Keywords

sign-changing solutionsmountain pass lemmasuperlinear elliptic boundary value problemminimax theorysemilinear elliptic boundary value problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (11)

Multiple nontrivial solutions for semilinear elliptic problems ⋮ Sign-changing solutions for nonlinear elliptic problems depending on parameters ⋮ The descending flow method and existence of solutions for a class of elliptic equations ⋮ \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations. ⋮ Multiplicity theorems for superlinear elliptic problems ⋮ Existence of solutions for fourth-order boundary value problem with parameter ⋮ Critical points and positive solutions of singular elliptic boundary value problems ⋮ ELLIPTIC EQUATIONS IN ℝ² WITH ONE-SIDED EXPONENTIAL GROWTH ⋮ Constant sign and nodal solutions for problems with the \(p\)-Laplacian and a nonsmooth potential using variational techniques ⋮ Multiplicity for nonlinear elliptic boundary value problems of \(p\)-Laplacian type without Ambrosetti-Rabinowitz condition ⋮ On sign-changing and multiple solutions of the \(p\)-Laplacian.

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