Existence of two nontrivial solutions for a class of elliptic eigenvalue problems

DOI10.1007/s000130050473zbMath0963.35058OpenAlexW2082250279MaRDI QIDQ1580900

Motreanu, Dumitru, Salvatore A. Marano

Publication date: 18 June 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050473

zbMATH Keywords

mountain pass theoremPalais-Smale conditioneigenvalue problemcritical point

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (2)

Three solutions for a quasilinear boundary value problem ⋮ Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\ldots ,p_n)\) -Laplacian

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