Multiple solutions for asymptotically (p-1)-homogeneous p-Laplacian equations

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:11:28Z
dc.date.available	2014-03-01T02:11:28Z
dc.date.issued	2012	en
dc.identifier.issn	00221236	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29913
dc.subject	Antimaximum principle	en
dc.subject	Critical groups	en
dc.subject	Critical point of mountain pass type	en
dc.subject	Homotopy	en
dc.subject	Local minimizer	en
dc.subject	Nonlinear regularity theory	en
dc.title	Multiple solutions for asymptotically (p-1)-homogeneous p-Laplacian equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jfa.2011.12.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jfa.2011.12.003	en
heal.publicationDate	2012	en
heal.abstract	We consider a nonlinear elliptic equation driven by the p-Laplacian and with a reaction term which exhibits a (p-1)-homogeneous growth both near ±∞ and near zero. Using critical point theory with truncation techniques, the method of upper-lower solutions and Morse theory, we show that the problem has five nontrivial smooth solutions, four of which have constant sign (two positive and two negative). © 2011 Elsevier Inc.	en
heal.journalName	Journal of Functional Analysis	en
dc.identifier.doi	10.1016/j.jfa.2011.12.003	en
dc.identifier.volume	262	en
dc.identifier.issue	5	en
dc.identifier.spage	2403	en
dc.identifier.epage	2435	en