Multiple solutions for strongly resonant nonlinear elliptic problems with discontinuities

Kyritsi, STh; Papageorgiou, NS

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:22:49Z
dc.date.available	2014-03-01T01:22:49Z
dc.date.issued	2005	en
dc.identifier.issn	0002-9939	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16663
dc.subject	Discontinuous nonlinearity	en
dc.subject	Generalized Ekeland variational principle	en
dc.subject	Generalized subdifferential	en
dc.subject	Multiple solutions	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	p-Laplacian	en
dc.subject	Strong resonance	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	FUNCTIONALS	en
dc.subject.other	INFINITY	en
dc.title	Multiple solutions for strongly resonant nonlinear elliptic problems with discontinuities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1090/S0002-9939-05-07864-0	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0002-9939-05-07864-0	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We examine a nonlinear strongly resonant elliptic problem driven by the p-Laplacian and with a discontinuous nonlinearity. We assume that the discontinuity points are countable and at them the nonlinearity has an upward jump discontinuity. We show that the problem has at least two nontrivial solutions without using a multivalued interpretation of the problem as it is often the case in the literature. Our approach is variational based on the nonsmooth critical point theory for locally Lipschitz functions. © 2005 American Mathematical Society.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Proceedings of the American Mathematical Society	en
dc.identifier.doi	10.1090/S0002-9939-05-07864-0	en
dc.identifier.isi	ISI:000229111200021	en
dc.identifier.volume	133	en
dc.identifier.issue	8	en
dc.identifier.spage	2369	en
dc.identifier.epage	2376	en