A bifurcation theorem for the p-logistic equation

Kyritsi, ST; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:34:51Z
dc.date.available	2014-03-01T01:34:51Z
dc.date.issued	2011	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20902
dc.subject	Bifurcation	en
dc.subject	Nonlinear maximum principle	en
dc.subject	Nonlinear regularity	en
dc.subject	p-Logistic equation	en
dc.subject	Unique positive solution	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Bifurcation	en
dc.subject.other	Nonlinear maximum principle	en
dc.subject.other	Nonlinear regularity	en
dc.subject.other	p-Logistic equation	en
dc.subject.other	Unique positive solution	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Maximum principle	en
dc.subject.other	Variational techniques	en
dc.subject.other	Nonlinear equations	en
dc.title	A bifurcation theorem for the p-logistic equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.amc.2011.02.056	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.amc.2011.02.056	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a p-logistic equation with an equidiffusive reaction. Using variational methods and truncation techniques, we show that there is a critical parameter value lambda* > 0 such that for lambda > lambda* the problem has a unique positive smooth solution, and for lambda is an element of (0, lambda*] the problem has no positive solution. (C) 2011 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/j.amc.2011.02.056	en
dc.identifier.isi	ISI:000288851600018	en
dc.identifier.volume	217	en
dc.identifier.issue	18	en
dc.identifier.spage	7504	en
dc.identifier.epage	7508	en