Pairs of positive solutions for singular p-Laplacian equations with a p-superlinear potential

Kyritsi, ST; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:34:03Z
dc.date.available	2014-03-01T01:34:03Z
dc.date.issued	2010	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20668
dc.subject	C-condition	en
dc.subject	Mountain pass theorem	en
dc.subject	p-Laplacian	en
dc.subject	p-superlinear term	en
dc.subject	Singular equation	en
dc.subject	Upper and lower solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Mountain pass theorem	en
dc.subject.other	P-Laplacian	en
dc.subject.other	Singular equations	en
dc.subject.other	Superlinear	en
dc.subject.other	Upper and lower solutions	en
dc.subject.other	Landforms	en
dc.subject.other	Variational techniques	en
dc.subject.other	Laplace transforms	en
dc.title	Pairs of positive solutions for singular p-Laplacian equations with a p-superlinear potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2010.04.019	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2010.04.019	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a singular parametric elliptic equation driven by the p-Laplacian and with a p-superlinear potential which does not satisfy the Ambrosetti-Rabinowitz condition. Using variational arguments, combined with truncation techniques and the method of upper and lower solutions, we show that there exists a lambda* > 0 such that if the parameter lambda is in (0, lambda*), then the problem has two ordered smooth positive strong solutions. (C) 2010 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.2010.04.019	en
dc.identifier.isi	ISI:000278546400002	en
dc.identifier.volume	73	en
dc.identifier.issue	5	en
dc.identifier.spage	1136	en
dc.identifier.epage	1142	en