(p, q)-Equations with Negative Concave Terms

dc.contributor.authorCrespo-Blanco, Ángel
dc.contributor.authorPapageorgiou, Nikolaos S.
dc.contributor.authorWinkert, Patrick
dc.date.accessioned2023-01-27T11:44:01Z
dc.date.available2023-01-27T11:44:01Z
dc.date.issued2022-10-27
dc.description.abstractIn this paper, we study a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction that has the combined effects of a negative concave term and of an asymmetric perturbation which is superlinear on the positive semiaxis and resonant in the negative one. We prove a multiplicity theorem for such problems obtaining three nontrivial solutions, all with sign information. Furthermore, under a local symmetry condition, we prove the existence of a whole sequence of sign-changing solutions converging to zero in C10(Ω¯¯¯¯).en
dc.description.sponsorshipTU Berlin, Open-Access-Mittel – 2022
dc.description.sponsorshipDFG, 390685689, EXC 2046: MATH+: Berlin Mathematics Research Center
dc.identifier.eissn1559-002X
dc.identifier.issn1050-6926
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/18087
dc.identifier.urihttps://doi.org/10.14279/depositonce-16880
dc.language.isoen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510 Mathematikde
dc.subject.otherconcave and convex nonlinearitiesen
dc.subject.otherconstant sign and nodal solutionsen
dc.subject.othercritical groupsen
dc.subject.other(p, q)-Laplacianen
dc.subject.otherregularity theoryen
dc.subject.otherresonanceen
dc.title(p, q)-Equations with Negative Concave Termsen
dc.typeArticle
dc.type.versionpublishedVersion
dcterms.bibliographicCitation.articlenumber5
dcterms.bibliographicCitation.doi10.1007/s12220-022-01044-5
dcterms.bibliographicCitation.journaltitleThe journal of geometric analysis
dcterms.bibliographicCitation.originalpublishernameSpringer Nature
dcterms.bibliographicCitation.originalpublisherplaceHeidelberg
dcterms.bibliographicCitation.volume33
dcterms.rightsHolder.referenceCreative-Commons-Lizenz
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::N/A (Not Applicable)
tub.publisher.universityorinstitutionTechnische Universität Berlin

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