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 Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5282

title: Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian
authors: Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
keywords: Degree theory
Scalar p-Laplacian
Periodic solutions
Local minimizers
Solutions of constant sign
issue date: 2007
publisher: Elsevier
abstract: We consider a nonlinear periodic problem driven by the scalar p-Laplacian with a nonsmooth potential (hemivariational inequality). Using the degree theory for multivalued perturbations of +(S)-operators and the spectrum of a class of weighted eigenvalue problems for the scalar p-Laplacian, we prove the existence of at least three distinct nontrivial solutions, two of which have constant sign.
URI: http://hdl.handle.net/10773/5282
ISSN: 0022-0396
source: Journal of Differential Equations
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