Solvability of semilinear hemivariational inequalities at resonance using generalized Landesman-Lazer conditions

Kyritsi, STh; Papageorgiou, NS

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:21:27Z
dc.date.available	2014-03-01T01:21:27Z
dc.date.issued	2004	en
dc.identifier.issn	0026-9255	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16242
dc.subject	Eigenvalues and eigenvectors of the Laplacian	en
dc.subject	Generalized Landesman-Lazer condition	en
dc.subject	Locally Lipschitz function	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Nonsmooth Palais-Smale condition	en
dc.subject	Orthogonal decomposition	en
dc.subject	Saddle point theorem	en
dc.subject	Subdifferential	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	PARTIAL-DIFFERENTIAL EQUATIONS	en
dc.subject.other	THEOREMS	en
dc.title	Solvability of semilinear hemivariational inequalities at resonance using generalized Landesman-Lazer conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00605-003-0143-1	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00605-003-0143-1	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this paper we examine semilinear hernivariational inequalities at resonance at any eigenvalue of the negative Laplacian with Dirichlet boundary condition. Our approach is variational based on the Nonsmooth Critical Point Theory and it uses a generalized Landesman-Lazer condition. We prove two existence theorems using two different forms of the generalized Landesman-Lazer condition. In the last section we show that our Landesman-Lazer condition is more general than the ones existing in the literature.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Monatshefte fur Mathematik	en
dc.identifier.doi	10.1007/s00605-003-0143-1	en
dc.identifier.isi	ISI:000222803000003	en
dc.identifier.volume	142	en
dc.identifier.issue	3	en
dc.identifier.spage	227	en
dc.identifier.epage	241	en