Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequalities

Kyritsi, ST; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:22:50Z
dc.date.available	2014-03-01T01:22:50Z
dc.date.issued	2005	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16675
dc.subject	Critical point	en
dc.subject	Critical value	en
dc.subject	Deformation result	en
dc.subject	Hemivariational inequality	en
dc.subject	Higher eigenvalues	en
dc.subject	Locally Lipschitz function	en
dc.subject	Lower solution	en
dc.subject	p-Laplacian	en
dc.subject	Positive solution	en
dc.subject	Principal eigenvalue	en
dc.subject	Rayleigh quotient	en
dc.subject	Subdifferential	en
dc.subject	Upper solution	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Function evaluation	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Set theory	en
dc.subject.other	Variational techniques	en
dc.subject.other	Critical point	en
dc.subject.other	Critical value	en
dc.subject.other	Deformation result	en
dc.subject.other	Hemivariational inequality	en
dc.subject.other	Higher eigenvalues	en
dc.subject.other	Locally Lipschitz function	en
dc.subject.other	Lower solution	en
dc.subject.other	Principal eigenvalue	en
dc.subject.other	Rayleigh quotient	en
dc.subject.other	Upper solution	en
dc.subject.other	Nonlinear systems	en
dc.title	Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequalities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2004.12.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2004.12.001	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper we develop a critical point theory for nonsmooth locally Lipschitz functionals defined on a closed, convex set extending this way the work of Struwe (Variational Methods, Springer, Berlin, 1990). Through a deformation result, we obtain minimax principles producing critical points. Then we use the theory to obtain positive and negative solutions of nonlinear and semilinear hemivariational inequalities. In this context we improve a result on positive solutions for semilinear elliptic problems due to Nirenberg (Variational methods in nonlinear problems, in: Topics in Calculus of Variations, Lecture Notes in Mathematics, vol. 1365, Springer, Berlin, 1987). (c) 2005 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2004.12.001	en
dc.identifier.isi	ISI:000227749500005	en
dc.identifier.volume	61	en
dc.identifier.issue	3	en
dc.identifier.spage	373	en
dc.identifier.epage	403	en