Multiple positive solutions for a p-laplacian dirichlet problem with superdiffusive reaction

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	2014-03-01T01:33:47Z
dc.date.available	2014-03-01T01:33:47Z
dc.date.issued	2010	en
dc.identifier.issn	0362-1588	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20594
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77951772226&partnerID=40&md5=841fddd94f8dd50c0eda88f6ab934b54	en
dc.subject	Multiple solutions	en
dc.subject	Nonlinear maximum principle	en
dc.subject	Nonlinear regularity	en
dc.subject	P-laplacian	en
dc.subject	Positive solutions	en
dc.subject	Strong comparison principle	en
dc.subject	Superdiffusive reaction	en
dc.subject.classification	Mathematics	en
dc.subject.other	QUASILINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	SOBOLEV	en
dc.title	Multiple positive solutions for a p-laplacian dirichlet problem with superdiffusive reaction	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	A parametric Dirichlet elliptic problem, driven by the p-Laplacian, and with a superdiffusive reaction is studied. First, it is shown that there exists a lambda* > 0, such that for every parameter lambda >= lambda, the problem has a strictly positive smooth solution. Subsequently, by strengthening the conditions on the Caratheodory nonlinearity f(z ,x) (see (P-lambda) below), it is shown that for all lambda >= lambda the problem has two positive solutions.	en
heal.publisher	UNIV HOUSTON	en
heal.journalName	Houston Journal of Mathematics	en
dc.identifier.isi	ISI:000276308000021	en
dc.identifier.volume	36	en
dc.identifier.issue	1	en
dc.identifier.spage	313	en
dc.identifier.epage	333	en