Pairs of positive solutions for nonlinear elliptic equations with the p-Laplacian and a nonsmooth potential

Kyritsi, STh; Papageorgiou, NS

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:22:54Z
dc.date.available	2014-03-01T01:22:54Z
dc.date.issued	2005	en
dc.identifier.issn	0373-3114	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16712
dc.subject	Clarke subdifferential	en
dc.subject	Hemivariational inequality	en
dc.subject	Local minimizer	en
dc.subject	Locally Lipschitz function	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Nonsmooth Mountain Pass Theorem	en
dc.subject	Nonsmooth PS-condition	en
dc.subject	Regularity theory	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	HEMIVARIATIONAL INEQUALITIES	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	RESONANCE	en
dc.subject.other	EXISTENCE	en
dc.subject.other	NUMBER	en
dc.title	Pairs of positive solutions for nonlinear elliptic equations with the p-Laplacian and a nonsmooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10231-004-0119-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10231-004-0119-3	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper we examine a nonlinear elliptic problem driven by the p-Laplacian differential operator and with a potential function which is only locally Lipschitz, not necessarily C-1 (hemivariational inequality). Using the nonsmooth critical point theory of Chang, we obtain two strictly positive solutions. One solution is obtained by minimization of a suitable modification of the energy functional. The second solution is obtained by generalizing a result of Brezis-Nirenberg about the local C-0(1)-minimizers versus the local H-0(1)-minimizers of a C-1-functional.	en
heal.publisher	SPRINGER HEIDELBERG	en
heal.journalName	Annali di Matematica Pura ed Applicata	en
dc.identifier.doi	10.1007/s10231-004-0119-3	en
dc.identifier.isi	ISI:000240467500002	en
dc.identifier.volume	184	en
dc.identifier.issue	4	en
dc.identifier.spage	449	en
dc.identifier.epage	472	en