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 On the existence of multiple nontrivial solutions for resonant neumann problems
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5278

title: On the existence of multiple nontrivial solutions for resonant neumann problems
authors: 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.
URI: http://hdl.handle.net/10773/5278
ISSN: 1345-4773
publisher version/DOI: http://www.ybook.co.jp/jnca.html
source: Journal of Nonlinear and Convex Analysis
appears in collectionsMAT - Artigos

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