Multiple solutions for resonant nonlinear periodic equations

Motreanu, D; Motreanu, VV; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	Motreanu, VV	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:33:48Z
dc.date.available	2014-03-01T01:33:48Z
dc.date.issued	2010	en
dc.identifier.issn	1021-9722	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20600
dc.subject	Homotopy	en
dc.subject	Morse theory	en
dc.subject	Resonant problem	en
dc.subject	Scalar p-Laplacian	en
dc.subject	Solutions of constant sign	en
dc.subject	Truncation	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	FUCIK SPECTRUM	en
dc.subject.other	EXISTENCE	en
dc.title	Multiple solutions for resonant nonlinear periodic equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00030-010-0067-0	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00030-010-0067-0	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a nonlinear periodic problem driven by the scalar p-Laplacian, with an asymptotically (p-1)-linear nonlinearity. We permit resonance with respect to the second positive eigenvalue of the negative periodic scalar p-Laplacian and we assume nonuniform nonresonance with respect to the first positive eigenvalue. Using a combination of variational methods, with truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions. © 2010 Birkhäuser / Springer Basel AG.	en
heal.publisher	BIRKHAUSER VERLAG AG	en
heal.journalName	Nonlinear Differential Equations and Applications	en
dc.identifier.doi	10.1007/s00030-010-0067-0	en
dc.identifier.isi	ISI:000282182600002	en
dc.identifier.volume	17	en
dc.identifier.issue	5	en
dc.identifier.spage	535	en
dc.identifier.epage	557	en