Twin positive solutions for singular nonlinear elliptic equations

Chen, J; Papageorgiou, NS; Rocha, EM

dc.contributor.author	Chen, J	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Rocha, EM	en
dc.date.accessioned	2014-03-01T01:34:48Z
dc.date.available	2014-03-01T01:34:48Z
dc.date.issued	2010	en
dc.identifier.issn	1230-3429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20869
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77956382389&partnerID=40&md5=d054c2ce6d1727acbfa518c57ee84e2f	en
dc.subject	Positive solutions	en
dc.subject	Singular nonlinearity	en
dc.subject	Truncation techniques	en
dc.subject	Upper-lower solutionss	en
dc.subject	Variational methods	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	SIGN CHANGING NONLINEARITIES	en
dc.subject.other	EXISTENCE	en
dc.title	Twin positive solutions for singular nonlinear elliptic equations	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	For a bounded domain Z C ℝN with a C2-boundary, we prove the existence of an ordered pair of smooth positive strong solutions for the nonlinear Dirichlet problem -Δp x(z) = β(x)x(z)-η + f(z, x(z)) a.e. on Z with x Ε W 01,p(Z), which exhibits the combined effects of a singular term (η ≥ 0) and a (p -1)-linear term f(z, x) near +∞, by using a combination of variational methods, with upper-lower solutions and with suitable truncation techniques. © 2010 Juliusz Schauder Center for Nonlinear Studies.	en
heal.publisher	JULIUSZ SCHAUDER CTR NONLINEAR STUDIES	en
heal.journalName	Topological Methods in Nonlinear Analysis	en
dc.identifier.isi	ISI:000275736300011	en
dc.identifier.volume	35	en
dc.identifier.issue	1	en
dc.identifier.spage	187	en
dc.identifier.epage	201	en