Title of article
A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential Original Research Article
Author/Authors
Michael Filippakis، نويسنده , , Leszek Gasinski، نويسنده , , Nikolaos S. Papageorgiou، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
15
From page
61
To page
75
Abstract
We study a semilinear elliptic problem with a nonsmooth potential and resonance at the origin between two successive eigenvalues of View the MathML source(-Δ,H01(Z)). Our approach is variational and is based on the nonsmooth critical point theory for locally Lipschitz functions. We prove the existence of at least two nontrivial solutions.
Keywords
subdifferential , nonsmooth critical point theory , Resonance , Eigenvalues and eigenspaces of the Laplacian , local linking , Multiple nontrivial critical points , Variational characterizations of the eigenvalues , Hemivariational inequalities , Locally Lipschitz function
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2005
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858854
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