Nonlinear resonant periodic problems with concave terms

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	2014-03-01T01:36:29Z
dc.date.available	2014-03-01T01:36:29Z
dc.date.issued	2011	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21310
dc.subject	C-condition	en
dc.subject	Concave term	en
dc.subject	Contractible space	en
dc.subject	Critical groups	en
dc.subject	Ekeland variational principle	en
dc.subject	Homotopy equivalent	en
dc.subject	Strong deformation retract	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	SCALAR P-LAPLACIAN	en
dc.subject.other	NONTRIVIAL SOLUTIONS	en
dc.subject.other	EQUATIONS	en
dc.subject.other	EIGENVALUES	en
dc.subject.other	EXISTENCE	en
dc.subject.other	SPECTRUM	en
dc.title	Nonlinear resonant periodic problems with concave terms	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2010.09.009	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2010.09.009	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a nonlinear periodic problem, driven by the scalar p-Laplacian with a concave term and a Caratheodory perturbation. We assume that this perturbation f (t,x) is (p-1)-linear at +/-infinity, and resonance can occur with respect to an eigenvalue lambda(m+1), m >= 2, of the negative periodic scalar p-Laplacian. Using a combination of variational techniques, based on the critical point theory, with Morse theory, we establish the existence of at least three nontrivial solutions. Useful in our considerations is an alternative minimax characterization of lambda(1) > 0 (the first nonzero eigenvalue) that we prove in this work. (C) 2010 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2010.09.009	en
dc.identifier.isi	ISI:000284293600032	en
dc.identifier.volume	375	en
dc.identifier.issue	1	en
dc.identifier.spage	342	en
dc.identifier.epage	364	en