On p-Laplace equations with concave terms and asymmetric perturbations

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	2014-03-01T02:47:26Z
dc.date.available	2014-03-01T02:47:26Z
dc.date.issued	2011	en
dc.identifier.issn	0308-2105	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/33144
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	QUASILINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	INFINITY	en
dc.subject.other	EXISTENCE	en
dc.subject.other	NONLINEARITIES	en
dc.subject.other	RESONANCE	en
dc.subject.other	SOBOLEV	en
dc.subject.other	ORIGIN	en
dc.title	On p-Laplace equations with concave terms and asymmetric perturbations	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1017/S0308210509001656	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0308210509001656	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a nonlinear Dirichlet problem driven by the p-Laplace differential operator with a concave term and a nonlinear perturbation, which exhibits an asymmetric behaviour near +∞ and near -∞. Namely, it is (p - 1)-superlinear on + and (p - 1)-(sub)linear on -. Using variational methods based on the critical point theory together with truncation techniques, Ekeland's variational principle, Morse theory and the lower-and-upper-solutions approach, we show that the problem has at least four non-trivial smooth solutions. Also, we provide precise information about the sign of these solutions: two are positive, one is negative and one is nodal (sign changing). © 2011 Copyright Royal Society of Edinburgh.	en
heal.publisher	ROYAL SOC EDINBURGH	en
heal.journalName	Proceedings of the Royal Society of Edinburgh Section A: Mathematics	en
dc.identifier.doi	10.1017/S0308210509001656	en
dc.identifier.isi	ISI:000287840400010	en
dc.identifier.volume	141	en
dc.identifier.issue	1	en
dc.identifier.spage	171	en
dc.identifier.epage	192	en