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
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
Journal title :
Nonlinear Analysis Theory, Methods & Applications
