Multiple Constant Sign and Nodal Solutions for Superlinear Elliptic Equations

Kyritsi, ST; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:31:17Z
dc.date.available	2014-03-01T01:31:17Z
dc.date.issued	2009	en
dc.identifier.issn	0532-8721	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19768
dc.subject	C-condition	en
dc.subject	Mountain pass theorem	en
dc.subject	Second deformation theorem	en
dc.subject	Morse theory	en
dc.subject	Critical groups	en
dc.subject	Superlinear problems	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	POSITIVE SOLUTIONS	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	RESONANCE	en
dc.subject.other	INFINITY	en
dc.title	Multiple Constant Sign and Nodal Solutions for Superlinear Elliptic Equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1619/fesi.52.437	en
heal.identifier.secondary	http://dx.doi.org/10.1619/fesi.52.437	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider semilinear elliptic problems with a superlinear right hand side nonlinearity, which however, need not satisfy the Ambrosetti-Rabinowitz condition. Using a combination of variational methods, with Morse theory (critical groups) and truncation techniques, we prove multiplicity theorems providing precise sign information for the solutions. We show that the problem can have seven and eight solutions, all with prescribed sign.	en
heal.publisher	KOBE UNIV, DEPT MATHEMATICS	en
heal.journalName	FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA	en
dc.identifier.doi	10.1619/fesi.52.437	en
dc.identifier.isi	ISI:000273137200008	en
dc.identifier.volume	52	en
dc.identifier.issue	3	en
dc.identifier.spage	437	en
dc.identifier.epage	473	en