Nonlinear Elliptic Eigenvalue Problems with Discontinuities

Hu, S; Kourogenis, NC; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Kourogenis, NC	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:14:53Z
dc.date.available	2014-03-01T01:14:53Z
dc.date.issued	1999	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13264
dc.subject	Compact embedding	en
dc.subject	Critical point	en
dc.subject	Locally Lipschitz functions	en
dc.subject	Maximal monotone operators	en
dc.subject	Mountain Pass Theorem	en
dc.subject	Nonsmooth Palais-Smale condition	en
dc.subject	Rayleigh quotient	en
dc.subject	Subdifferential	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	FUNCTIONALS	en
dc.title	Nonlinear Elliptic Eigenvalue Problems with Discontinuities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jmaa.1999.6338	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmaa.1999.6338	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In this paper we study the existence of solution for two different eigenvalue problems. The first is nonlinear and the second is semilinear. Our approach is based on results from the nonsmooth critical point theory. In the first theorem we prove the existence of at least two nontrivial solutions when lambda is in a half-axis. In the second theorem (based on a nonsmooth variant of the generalized mountain pass theorem), we prove the existence of at least one nontrivial solution for every lambda is an element of R. (C) 1999 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1006/jmaa.1999.6338	en
dc.identifier.isi	ISI:000079951600026	en
dc.identifier.volume	233	en
dc.identifier.issue	1	en
dc.identifier.spage	406	en
dc.identifier.epage	424	en