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Nonlinear elliptic systems involving Hardy-Sobolev Criticalities

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dc.contributor.authorLópez-Soriano, Rafael
dc.contributor.authorOrtega García, Alejandro
dc.date.accessioned2025-03-31T09:05:30Z
dc.date.available2025-03-31T09:05:30Z
dc.date.issued2023-08-23
dc.descriptionEsta es la versión aceptada para su publicación en Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas., 117, 157 (2023). La versión final publicada está disponible en la página del editor: Springer, https://doi.org/10.1007/s13398-023-01490-y. This is the accepted version for publication in the Journal of the Royal Academy of Exact, Physical and Natural Sciences. Series A. Mathematics, 117, 157 (2023). The final published version is available from the publisher's website: Springer, https://doi.org/10.1007/s13398-023-01490-y.
dc.description.abstractThis paper is focused on the solvability of a family of nonlinear elliptic systems defined in RN . Such equations contain Hardy potentials and Hardy–Sobolev criticalities coupled by a possible critical Hardy–Sobolev term. That problem arises as a generalization of Gross–Pitaevskii and Bose–Einstein type systems. By means of variational techniques, we shall find ground and bound states in terms of the coupling parameter ν and the order of the different parameters and exponents. In particular, for a wide range of parameters we find solutions as minimizers or Mountain–Pass critical points of the energy functional on the underlying Nehari manifold.en
dc.description.versionversión final
dc.identifier.citationLópez-Soriano, R., Ortega, A. Nonlinear elliptic systems involving Hardy–Sobolev criticalities. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 157 (2023). https://doi.org/10.1007/s13398-023-01490-y
dc.identifier.doihttps://doi.org/10.1007/s13398-023-01490-y
dc.identifier.issn1578-7303; eISSN: 1579-1505
dc.identifier.urihttps://hdl.handle.net/20.500.14468/26399
dc.journal.titleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
dc.journal.volume117
dc.language.isoen
dc.publisherSpringer
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.titleNonlinear elliptic systems involving Hardy-Sobolev Criticalitiesen
dc.typeartículoes
dc.typejournal articleen
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relation.isAuthorOfPublicationb770dda9-79ba-4d99-9e06-bd9a2e68805e
relation.isAuthorOfPublication.latestForDiscoveryb770dda9-79ba-4d99-9e06-bd9a2e68805e
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