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Positive solutions for a weighted critical problem with mixed boundary conditions

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dc.contributor.authorOrtega García, Alejandro
dc.contributor.authorVilasi, Luca
dc.contributor.authorWang, Youjun
dc.date.accessioned2026-02-25T12:15:08Z
dc.date.available2026-02-25T12:15:08Z
dc.date.issued2025-12-01
dc.descriptionThe registered version of this article, first published in “Discrete and Continuous Dynamical Systems 35 (2025), 153-178", is available online at the publisher's website: American Institute of Mathematical Sciences, http://dx.doi.org/10.3934/dcdsb.2026008
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en “Discrete and Continuous Dynamical Systems 35 (2025), 153-178", está disponible en línea en el sitio web del editor: American Institute of Mathematical Sciences, http://dx.doi.org/10.3934/dcdsb.2026008
dc.description.abstractWe analyze the existence and multiplicity of positive solutions to a nonlocal elliptic problem involving the spectral fractional Laplacian endowed with homogeneous mixed Dirichlet-Neumann boundary conditions and weighted critical nonlinearities. By means of variational methods and the Nehari manifold approach, we deduce the existence of multiple positive solutions under some assumptions on the behavior of the weight function around its maximum points. In this way, we extend and improve the results in [19], dealing with the Dirichlet problem for the classical Laplacian, to the nonlocal setting with mixed boundary conditions.en
dc.description.provenanceMade available in DSpace on 2026-02-25T12:15:08Z (GMT). No. of bitstreams: 1 Positive solutions for a weighted critical problem with mixed boundary conditions. Alejandro Ortega García.pdf: 461527 bytes, checksum: 0216ef58547b44c4758e72c0d47ae89e (MD5) Previous issue date: 2025-12-01en
dc.description.sponsorshipThe first author is partially supported by Vicerrectorado de Investigación, Transferencia del Conocimiento y Divulgación Científica of UNED under research project Talento Joven UNED, Ref: 2025/00151/001. The second author is a member of the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). The third author is supported by the Natural Science Foundation of Guangdong (No. 2023A1515012812).en
dc.description.versionversión publicada
dc.identifier.citationOrtega, Alejandro, Vilasi, Luca, Wang, Youjun (2025). Positive solutions for a weighted critical problem with mixed boundary conditions. Discrete and Continuous Dynamical Systems 35, 153-178. http://dx.doi.org/10.3934/dcdsb.2026008
dc.identifier.doihttp://dx.doi.org/10.3934/dcdsb.2026008
dc.identifier.eissn1553-524X
dc.identifier.issn1531-3492
dc.identifier.urihttps://hdl.handle.net/20.500.14468/31953
dc.journal.titleDiscrete and Continuous Dynamical Systems
dc.journal.volume35
dc.language.isoen
dc.page.final178
dc.page.initial153
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject1202 Análisis y análisis funcional
dc.subject.keywordsFractional Laplacianen
dc.subject.keywordsMixed boundary conditionsen
dc.subject.keywordsCritical Sobolev exponenten
dc.subject.keywordsMultiplicity of solutionsen
dc.subject.keywordsVariational methodsen
dc.subject.keywordsNehari manifolden
dc.titlePositive solutions for a weighted critical problem with mixed boundary conditionsen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoveryb770dda9-79ba-4d99-9e06-bd9a2e68805e
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