Existence of multiple solutions with precise sign information for superlinear Neumann problems

Aizicovici, S; Papageorgiou, NS; Staicu, V

dc.contributor.author	Aizicovici, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:30:27Z
dc.date.available	2014-03-01T01:30:27Z
dc.date.issued	2009	en
dc.identifier.issn	0373-3114	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19590
dc.subject	Constant sign solutions	en
dc.subject	Critical groups	en
dc.subject	Linking theorem	en
dc.subject	Neumann problem	en
dc.subject	Nodal solutions	en
dc.subject	p-Laplacian	en
dc.subject	Second deformation theorem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	FUNCTIONALS	en
dc.subject.other	RESONANCE	en
dc.subject.other	SOBOLEV	en
dc.subject.other	THEOREM	en
dc.title	Existence of multiple solutions with precise sign information for superlinear Neumann problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10231-009-0096-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10231-009-0096-7	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator and having a p-superlinear nonlinearity. Using truncation techniques combined with the method of upper-lower solutions and variational arguments based on critical point theory, we prove the existence of five nontrivial smooth solutions, two positive, two negative and one nodal. For the semilinear (i.e., p = 2) problem, using critical groups we produce a second nodal solution. © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag 2009.	en
heal.publisher	SPRINGER HEIDELBERG	en
heal.journalName	Annali di Matematica Pura ed Applicata	en
dc.identifier.doi	10.1007/s10231-009-0096-7	en
dc.identifier.isi	ISI:000269996900009	en
dc.identifier.volume	188	en
dc.identifier.issue	4	en
dc.identifier.spage	679	en
dc.identifier.epage	719	en