Multiple positive solutions for a class of p-superlinear elliptic problems

Kyritsi, STh; Papageorgiou, NS

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:33:47Z
dc.date.available	2014-03-01T01:33:47Z
dc.date.issued	2010	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20593
dc.subject	Constant sign solutions	en
dc.subject	Critical point theory	en
dc.subject	Morse theory	en
dc.subject	p-Laplacian	en
dc.subject	p-linear nonlinearity	en
dc.subject	p-superlinear term	en
dc.subject	Positive solutions	en
dc.subject	Truncations	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 the-ory	en
dc.subject.other	Non-Linearity	en
dc.subject.other	P-Laplacian	en
dc.subject.other	Positive solution	en
dc.subject.other	Superlinear	en
dc.subject.other	Equations of state	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Topology	en
dc.subject.other	Nonlinear equations	en
dc.title	Multiple positive solutions for a class of p-superlinear elliptic problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2009.11.046	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2009.11.046	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We study nonlinear elliptic Dirichlet problems driven by the p-Laplacian and with a nonlinearity which consists of a p-superlinear term perturbed by a p-linear one. Using critical point theory, coupled with suitable truncation techniques, we show that the problem has two positive smooth solutions. When the conditions are symmetric in the two semiaxes, we have four nontrivial smooth solutions of constant sign. Finally for the semilinear problem, using Morse theory, we produce a fifth nontrivial smooth solution. (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.2009.11.046	en
dc.identifier.isi	ISI:000274560200027	en
dc.identifier.volume	72	en
dc.identifier.issue	6	en
dc.identifier.spage	3069	en
dc.identifier.epage	3079	en