Constant sign and nodal solutions for logistic-type equations with equidiffusive reaction

Papageorgiou, NS; Papalini, F

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Papalini, F	en
dc.date.accessioned	2014-03-01T02:08:34Z
dc.date.available	2014-03-01T02:08:34Z
dc.date.issued	2012	en
dc.identifier.issn	00269255	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29665
dc.subject	Critical point theory	en
dc.subject	Equidiffusive reaction	en
dc.subject	Logistic-type equation	en
dc.subject	Morse theory	en
dc.subject	Positive and nodal solutions	en
dc.subject	Superlinear nonlinearity	en
dc.subject	Truncation techniques	en
dc.title	Constant sign and nodal solutions for logistic-type equations with equidiffusive reaction	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00605-010-0257-1	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00605-010-0257-1	en
heal.publicationDate	2012	en
heal.abstract	We consider a logistic-type equation driven by the p-Laplace differential operator with an equidiffusive reaction term. Combining variational methods based on critical point theory together with truncation techniques and Morse theory, we show that when λ > λ1, the problem has extremal solutions of constant sign and when λ > λ2 it has also a nodal (sign-changing) solution. Here λ1 < λ2 are the first two eigenvalues of the negative Dirichlet p-Laplacian. In the semilinear case (i. e. p = 2) we produce two nodal solutions. © 2010 Springer-Verlag.	en
heal.journalName	Monatshefte fur Mathematik	en
dc.identifier.doi	10.1007/s00605-010-0257-1	en
dc.identifier.volume	165	en
dc.identifier.issue	1	en
dc.identifier.spage	91	en
dc.identifier.epage	116	en