Neumann problems resonant at zero and infinity

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:11:30Z
dc.date.available	2014-03-01T02:11:30Z
dc.date.issued	2012	en
dc.identifier.issn	03733114	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29924
dc.subject	Critical point theory	en
dc.subject	Morse theory	en
dc.subject	Multiple solutions	en
dc.subject	Regularity theory	en
dc.subject	Resonance at zero and infinity	en
dc.subject	Solutions of constant sign	en
dc.subject	Truncation techniques	en
dc.title	Neumann problems resonant at zero and infinity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10231-011-0188-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10231-011-0188-z	en
heal.publicationDate	2012	en
heal.abstract	We consider a semilinear Neumann problem with a reaction which is resonant at both zero and ±∞. Using a combination of methods from critical point theory, together with truncation techniques, the use of upper-lower solutions and of the Morse theory (critical groups), we show that the problem has at least five nontrivial smooth solutions, four of which have constant sign (two positive and two negative). © 2011 The Author(s).	en
heal.journalName	Annali di Matematica Pura ed Applicata	en
dc.identifier.doi	10.1007/s10231-011-0188-z	en
dc.identifier.volume	191	en
dc.identifier.issue	3	en
dc.identifier.spage	395	en
dc.identifier.epage	430	en