Multiple positive solutions for eigenvalue problems of hemivariational inequalities

Filippakis, M; Gasinski, L; Papageorgiou, NS

dc.contributor.author	Filippakis, M	en
dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:24:41Z
dc.date.available	2014-03-01T01:24:41Z
dc.date.issued	2006	en
dc.identifier.issn	1385-1292	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17393
dc.subject	Locally Lipschitz function	en
dc.subject	Maximum principle	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Nonsmooth potential	en
dc.subject	Subdifferential	en
dc.subject	Upper and lower solutions	en
dc.subject.classification	Mathematics	en
dc.subject.other	NON-NEGATIVE SOLUTIONS	en
dc.subject.other	NON-POSITONE PROBLEMS	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.title	Multiple positive solutions for eigenvalue problems of hemivariational inequalities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11117-005-0002-5	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11117-005-0002-5	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	We study a nonlinear eigenvalue problem with a nonsmooth potential. The subgradients of the potential are only positive near the origin (from above) and near +infinity. Also the subdifferential is not necessarily monotone (i.e. the potential is not convex). Using variational techniques and the method of upper and lower solutions, we establish the existence of at least two strictly positive smooth solutions for all the parameters in an interval. Our approach uses the nonsmooth critical point theory for locally Lipschitz functions. A byproduct of our analysis is a generalization of a result of Brezis-Nirenberg (CRAS, 317 (1993)) on H-0(1) versus C-0(1) minimizers of a C-1-functional.	en
heal.publisher	SPRINGER	en
heal.journalName	Positivity	en
dc.identifier.doi	10.1007/s11117-005-0002-5	en
dc.identifier.isi	ISI:000239393400005	en
dc.identifier.volume	10	en
dc.identifier.issue	3	en
dc.identifier.spage	491	en
dc.identifier.epage	515	en