Multiplicity theorems for superlinear elliptic problems

Papageorgiou, NS; Rocha, EM; Staicu, V

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Rocha, EM	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:28:48Z
dc.date.available	2014-03-01T01:28:48Z
dc.date.issued	2008	en
dc.identifier.issn	0944-2669	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18985
dc.subject	Differential Operators	en
dc.subject	Elliptic Equation	en
dc.subject	Elliptic Problem	en
dc.subject	Morse Theory	en
dc.subject	Satisfiability	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	P-LAPLACIAN EQUATION	en
dc.subject.other	SOBOLEV	en
dc.title	Multiplicity theorems for superlinear elliptic problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00526-008-0172-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00526-008-0172-7	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper we study second order elliptic equations driven by the Laplacian and p-Laplacian differential operators and a nonlinearity which is (p-)superlinear (it satisfies the Ambrosetti-Rabinowitz condition). For the p-Laplacian equations we prove the existence of five nontrivial smooth solutions, namely two positive, two negative and a nodal solution. Finally we indicate how in the semilinear case, Morse theory can be used to produce six nontrivial solutions. © 2008 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Calculus of Variations and Partial Differential Equations	en
dc.identifier.doi	10.1007/s00526-008-0172-7	en
dc.identifier.isi	ISI:000256909400004	en
dc.identifier.volume	33	en
dc.identifier.issue	2	en
dc.identifier.spage	199	en
dc.identifier.epage	230	en