Two nontrivial critical points for nonsmooth functionals via local linking and applications

Kandilakis, D; Kourogenis, NC; Papageorgiou, NS

dc.contributor.author	Kandilakis, D	en
dc.contributor.author	Kourogenis, NC	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:23:21Z
dc.date.available	2014-03-01T01:23:21Z
dc.date.issued	2006	en
dc.identifier.issn	0925-5001	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16922
dc.subject	Cerami condition	en
dc.subject	Critical point	en
dc.subject	Generalized subdifferential	en
dc.subject	Local linking	en
dc.subject	Locally Lipschitz function	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	p-Laplacian	en
dc.subject	Periodic system	en
dc.subject	Principal eigenvalue	en
dc.subject	Problem at resonance	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Functions	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Resonance	en
dc.subject.other	Cerami condition	en
dc.subject.other	Generalized subdifferential	en
dc.subject.other	Periodic system	en
dc.subject.other	Principal eigenvalue	en
dc.subject.other	Theorem proving	en
dc.title	Two nontrivial critical points for nonsmooth functionals via local linking and applications	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10898-005-3884-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10898-005-3884-7	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this paper, we extend to nonsmooth locally Lipschitz functionals the multiplicity result of Brezis-Nirenberg (Communication Pure Applied Mathematics and 44 (1991)) based on a local linking condition. Our approach is based on the nonsmooth critical point theory for locally Lipschitz functions which uses the Clarke subdifferential. We present two applications. This first concerns periodic systems driven by the ordinary vector p-Laplacian. The second concerns elliptic equations at resonance driven by the partial p-Laplacian with Dirichlet boundary condition. In both cases the potential function is nonsmooth, locally Lipschitz. © Springer 2006.	en
heal.publisher	SPRINGER	en
heal.journalName	Journal of Global Optimization	en
dc.identifier.doi	10.1007/s10898-005-3884-7	en
dc.identifier.isi	ISI:000235460800003	en
dc.identifier.volume	34	en
dc.identifier.issue	2	en
dc.identifier.spage	219	en
dc.identifier.epage	244	en