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Asymmetric (p, 2)-equations with double resonance

Asymmetric (p, 2)-equations with double resonance

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dc.contributor.author Gasiński, Leszek [SAP11015898] pl
dc.contributor.author Papageorgiou, Nikolaos S. pl
dc.date.accessioned 2018-01-09T12:43:25Z
dc.date.available 2018-01-09T12:43:25Z
dc.date.issued 2017 pl
dc.identifier.issn 0944-2669 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/48299
dc.language eng pl
dc.rights Udzielam licencji. Uznanie autorstwa 3.0 Polska *
dc.rights.uri http://creativecommons.org/licenses/by/3.0/pl/legalcode *
dc.title Asymmetric (p, 2)-equations with double resonance pl
dc.type JournalArticle pl
dc.abstract.en We consider a nonlinear Dirichlet elliptic problem driven by the sum of a p-Laplacian and a Laplacian [a (p, 2)-equation] and with a reaction term, which is superlinear in the positive direction (without satisfying the Ambrosetti-Rabinowitz condition) and sublinear resonant in the negative direction. Resonance can also occur asymptotically at zero. So, we have a double resonance situation. Using variational methods based on the critical point theory and Morse theory (critical groups), we establish the existence of at least three nontrivial smooth solutions. pl
dc.description.volume 56 pl
dc.description.number 3 pl
dc.identifier.doi 10.1007/s00526-017-1180-2 pl
dc.identifier.eissn 1432-0835 pl
dc.title.journal Calculus of Variations and Partial Differential Equations pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania pl
dc.subtype Article pl
dc.identifier.articleid 88 pl
dc.rights.original CC-BY; inne; ostateczna wersja wydawcy; w momencie opublikowania; 0 pl
dc.identifier.project 2015/19/B/ST1/01169 and 2012/06/A/ST1/00262 pl
.pointsMNiSW [2017 A]: 45

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Udzielam licencji. Uznanie autorstwa 3.0 Polska Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 3.0 Polska