A unified treatment using critical point methods of the existence of multiple solutions for superlinear and sublinear neumann problems

Motreanu, D; O'Regan, D; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	O'Regan, D	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:35:03Z
dc.date.available	2014-03-01T01:35:03Z
dc.date.issued	2011	en
dc.identifier.issn	1534-0392	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20955
dc.subject	Critical point theory	en
dc.subject	Gradient ow	en
dc.subject	Morse theory	en
dc.subject	Multiple solutions	en
dc.subject	Superlinear and sublinear problems	en
dc.subject	Truncation techniques	en
dc.subject	Upper-lower solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	SEMILINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	UNIQUE CONTINUATION	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	RESONANCE	en
dc.subject.other	SIGN	en
dc.title	A unified treatment using critical point methods of the existence of multiple solutions for superlinear and sublinear neumann problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/cpaa.2011.10.1791	en
heal.identifier.secondary	http://dx.doi.org/10.3934/cpaa.2011.10.1791	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper we present a framework which permits the unified treatment of the existence of multiple solutions for superlinear and sublinear Neumann problems. Using critical point theory, truncation techniques, the method of upper-lower solutions, Morse theory and the invariance properties of the negative gradient flow, we show that the problem can have seven nontrivial smooth solutions, four of which have constant sign and three are nodal.	en
heal.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	Communications on Pure and Applied Analysis	en
dc.identifier.doi	10.3934/cpaa.2011.10.1791	en
dc.identifier.isi	ISI:000295155300015	en
dc.identifier.volume	10	en
dc.identifier.issue	6	en
dc.identifier.spage	1791	en
dc.identifier.epage	1816	en