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Title: On the existence of multiple nontrivial solutions for resonant neumann problems
Author: Papageorgiou, Nikolaos
Santos, Sandrina
Staicu, Vasile
Keywords: Locally Lipschitz function
Generalized subdifferential
Double resonance
Local linking
Palais-Smale condition
Issue Date: 2008
Publisher: Yokohama Publishers
Abstract: We consider a semilinear second order elliptic problem with Neumann boundary conditions and a nonsmooth potential (hemivariational inequality). Using nonsmooth critical point theory, we establish the existence of at least two nontrivial smooth solutions, when double resonance occurs at the origin between any two distinct successive eigenvalues.
Peer review: yes
ISSN: 1345-4773
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Appears in Collections:DMat - Artigos

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