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

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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 http://hdl.handle.net/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

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