Existence results for non-coercive problems

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dc.contributor.authorDiblík, Josefcs
dc.contributor.authorGalewski, Marekcs
dc.contributor.authorŠmarda, Zdeněkcs
dc.coverage.issue1cs
dc.coverage.volume14cs
dc.date.issued2025-01-01cs
dc.description.abstractIn this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to the Dirichlet boundary value problem driven by the perturbed (negative) p p -Laplacian. As a by-product of our findings, we provide a version of the Browder-Minty theorem in the potential case that does not involve the Brouwer fixed-point theorem but utilizes optimization techniques.en
dc.description.abstractIn this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to the Dirichlet boundary value problem driven by the perturbed (negative) p p -Laplacian. As a by-product of our findings, we provide a version of the Browder-Minty theorem in the potential case that does not involve the Brouwer fixed-point theorem but utilizes optimization techniques.en
dc.formattextcs
dc.format.extent1-13cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAdvances in Nonlinear Analysis. 2025, vol. 14, issue 1, p. 1-13.en
dc.identifier.doi10.1515/anona-2025-0071cs
dc.identifier.issn2191-9496cs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.orcid0000-0002-9559-6630cs
dc.identifier.other198252cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.researcheridAAA-1702-2022cs
dc.identifier.scopus6701633618cs
dc.identifier.scopus23973557200cs
dc.identifier.urihttp://hdl.handle.net/11012/255367
dc.language.isoencs
dc.publisherDe Gruytercs
dc.relation.ispartofAdvances in Nonlinear Analysiscs
dc.relation.urihttps://www.degruyterbrill.com/document/doi/10.1515/anona-2025-0071/htmlcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2191-9496/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectDirichlet problemen
dc.subjectMinty-Browder theoremen
dc.subjectmultiple solutionsen
dc.subjectnon-coercive problemen
dc.subjectp-Laplacianen
dc.subjectDirichlet problem
dc.subjectMinty-Browder theorem
dc.subjectmultiple solutions
dc.subjectnon-coercive problem
dc.subjectp-Laplacian
dc.titleExistence results for non-coercive problemsen
dc.title.alternativeExistence results for non-coercive problemsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-198252en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:10:23en
sync.item.modts2025.10.14 10:40:22en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs

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