On superlinear elliptic problems with nonlinearities interacting only with higher eigenvalues

DOI10.1216/RMJ-1988-18-2-287zbMath0673.35027OpenAlexW2033839601MaRDI QIDQ1120727

Djairo Guedes de Figueiredo

Publication date: 1988

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1988-18-2-287

zbMATH Keywords

eigenvaluesmultiplicity of solutionsparametersmooth domaingeneralized Mountain Pass Theoremparametric superlinear

Mathematics Subject Classification ID

Related Items (10)

Multiple solutions for some elliptic equations with a nonlinearity concave at the origin ⋮ Multiplicity results for a superlinear elliptic system with partial interference with the spectrum ⋮ Multiplicity results for a superlinear Dirichlet problem ⋮ Multiplicity of solutions for a superlinear \(p\)-Laplacian equation ⋮ Multiple nontrivial solutions of a semilinear elliptic problem with asymmetric nonlinearity ⋮ A Neumann problem with asymmetric nonlinearity and a related minimizing problem ⋮ The Ambrosetti-Prodi problem for gradient elliptic systems with critical homogeneous nonlinearity ⋮ An application of a variational theorem of mixed type to a superlinear elliptic problem ⋮ Calculating critical groups of solutions for elliptic problem with jumping nonlinearity ⋮ Asymptotically linear elliptic boundary value problems

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