Positive solutions for nonlinear periodic problems with concave terms

Aizicovici, S; Papageorgiou, NS; Staicu, V

dc.contributor.author	Aizicovici, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:36:39Z
dc.date.available	2014-03-01T01:36:39Z
dc.date.issued	2011	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21383
dc.subject	Bifurcation-type theorem	en
dc.subject	C-condition	en
dc.subject	Concave and convex nonlinearities	en
dc.subject	Local minimizer	en
dc.subject	Mountain pass theorem	en
dc.subject	Positive solution	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	DIMENSIONAL P-LAPLACIAN	en
dc.subject.other	NONTRIVIAL SOLUTIONS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	MULTIPLICITY	en
dc.subject.other	EXISTENCE	en
dc.title	Positive solutions for nonlinear periodic problems with concave terms	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2011.04.013	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2011.04.013	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a nonlinear periodic problem, driven by the scalar p-Laplacian, with a parametric concave term and a Caratheodory perturbation whose potential (primitive) exhibits a p-superlinear growth near +infinity, without satisfying the usual in such cases Ambrosetti-Rabinowitz condition. Using critical point theory and truncation techniques, we prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions as the parameter varies. (C) 2011 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2011.04.013	en
dc.identifier.isi	ISI:000290972700037	en
dc.identifier.volume	381	en
dc.identifier.issue	2	en
dc.identifier.spage	866	en
dc.identifier.epage	883	en