Positive solutions for generalized nonlinear logistic equations of superdiffusive type

Iannizzotto, A; Papageorgiou, NS

dc.contributor.author	Iannizzotto, A	en
dc.contributor.author	Papageorgiou, NS	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	1230-3429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21382
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-80355123584&partnerID=40&md5=80dae71270a685228bfa8cd719d8add3	en
dc.subject	Comparison theorem	en
dc.subject	Generalized p-logistic equation	en
dc.subject	Nonlinear maximum principle	en
dc.subject	P-laplacian	en
dc.subject	Positive solution	en
dc.subject	Superdiffusive case	en
dc.subject.classification	Mathematics	en
dc.subject.other	DEGENERATE ELLIPTIC EQUATION	en
dc.subject.other	MULTIPLICITY RESULT	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	SOBOLEV	en
dc.title	Positive solutions for generalized nonlinear logistic equations of superdiffusive type	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a generalized version of the p-logistic equation. Using variational methods based on the critical point theory and truncation techniques, we prove a bifurcation-type theorem for the equation. So, we show that there is a critical value lambda() > 0 of the parameter lambda > 0 such that the following holds: if lambda > lambda(), then the problem has two positive solutions; if lambda = lambda(), then there is a positive solution; and finally, if 0 < lambda < lambda(), then there are no positive solutions.	en
heal.publisher	JULIUSZ SCHAUDER CTR NONLINEAR STUDIES	en
heal.journalName	Topological Methods in Nonlinear Analysis	en
dc.identifier.isi	ISI:000295606500005	en
dc.identifier.volume	38	en
dc.identifier.issue	1	en
dc.identifier.spage	95	en
dc.identifier.epage	113	en