A multiplicity theorem for the Neumann p-Laplacian with an asymmetric nonsmooth potential

Barletta, G; Papageorgiou, NS

dc.contributor.author	Barletta, G	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:25:43Z
dc.date.available	2014-03-01T01:25:43Z
dc.date.issued	2007	en
dc.identifier.issn	0925-5001	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17740
dc.subject	Degree theory	en
dc.subject	Lagrange multiplier rule	en
dc.subject	Local minimizer	en
dc.subject	Neumann problem	en
dc.subject	Nonsmooth potential	en
dc.subject	P-Laplacian	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Differential equations	en
dc.subject.other	Function evaluation	en
dc.subject.other	Laplace equation	en
dc.subject.other	Problem solving	en
dc.subject.other	Degree theory	en
dc.subject.other	Hemivariational inequality	en
dc.subject.other	Nonlinear Neumann	en
dc.subject.other	Theorem proving	en
dc.title	A multiplicity theorem for the Neumann p-Laplacian with an asymmetric nonsmooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10898-007-9142-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10898-007-9142-4	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequality). By combining variational with degree theoretic techniques, we prove a multiplicity theorem. In the process, we also prove a result of independent interest relating W1,p and Cn1 local minimizers, of a nonsmooth locally Lipschitz functional. © 2007 Springer Science+Business Media, Inc.	en
heal.publisher	SPRINGER	en
heal.journalName	Journal of Global Optimization	en
dc.identifier.doi	10.1007/s10898-007-9142-4	en
dc.identifier.isi	ISI:000250064900003	en
dc.identifier.volume	39	en
dc.identifier.issue	3	en
dc.identifier.spage	365	en
dc.identifier.epage	392	en