Nonlinear elliptic equations with an asymptotically linear reaction term

Papageorgiou, NS; Smyrlis, G

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Smyrlis, G	en
dc.date.accessioned	2014-03-01T01:31:21Z
dc.date.available	2014-03-01T01:31:21Z
dc.date.issued	2009	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19786
dc.subject	Constant sign solutions	en
dc.subject	Critical point theory	en
dc.subject	Morse theory	en
dc.subject	Nodal solutions	en
dc.subject	p-Laplacian	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Constant sign solutions	en
dc.subject.other	Critical point theory	en
dc.subject.other	Morse theory	en
dc.subject.other	Nodal solutions	en
dc.subject.other	p-Laplacian	en
dc.subject.other	Asymptotic analysis	en
dc.subject.other	Differential equations	en
dc.subject.other	Equations of state	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Nonlinear equations	en
dc.title	Nonlinear elliptic equations with an asymptotically linear reaction term	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2009.01.224	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2009.01.224	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We examine nonlinear elliptic problems driven by the p-Laplacian and with a reaction term which asymptotically at +/-infinity exhibits a (p - 1)-linear growth (1 < p < infinity). Using tools from critical point theory and from Morse theory, we prove existence theorems and we provide information about the sign of the solutions. (C) 2009 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.2009.01.224	en
dc.identifier.isi	ISI:000267405300072	en
dc.identifier.volume	71	en
dc.identifier.issue	7-8	en
dc.identifier.spage	3129	en
dc.identifier.epage	3151	en