Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticases_ES
dc.contributor.authorDomínguez Vázquez, Miguel
dc.contributor.authorEnciso, Alberto
dc.contributor.authorPeralta-Salas, Daniel
dc.date.accessioned2024-10-04T11:40:04Z
dc.date.available2024-10-04T11:40:04Z
dc.date.issued2019
dc.description.abstractWe show that a wide range of overdetermined boundary problems for semilinear equations with position-dependent nonlinearities admits nontrivial solutions. The result holds true both on R^n and on compact Riemannian manifolds. As a byproduct of the proofs we also obtain some rigidity, or partial symmetry, results for solutions to overdetermined problems on Riemannian manifolds of nonconstant curvature.es_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipThe first author is supported by projects MTM2016-75897-P (AEI/FEDER) and ED431F 2017/03, by the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 745722, and by the Ramón y Cajal program of the Spanish Ministry of Science. The second and third authors have been supported by the ERC Starting Grants 633152 and 335079, respectively. All authors acknowledge financial support from the Spanish Ministry of Science through the Severo Ochoa Program for Centers of Excellence in R&D (SEV-2015-0554).es_ES
dc.identifier.citationAdv. Math. 351 (2019), 718-760es_ES
dc.identifier.doi10.1016/j.aim.2019.05.017
dc.identifier.urihttp://hdl.handle.net/10347/35011
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/745722/EUes_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/633152/EUes_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/335079/EUes_ES
dc.rightsCC BY-NC-NDes_ES
dc.rights.accessRightsopen accesses_ES
dc.subjectOverdetermined boundary value problemses_ES
dc.subjectSemilinear elliptic problemses_ES
dc.subjectAsymptotically homogeneous spaceses_ES
dc.subjectSymmetric spaceses_ES
dc.subjectHarmonic spaceses_ES
dc.titleSolutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearitieses_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication47842c15-6868-416f-be81-8000ef2fbf3c
relation.isAuthorOfPublication.latestForDiscovery47842c15-6868-416f-be81-8000ef2fbf3c

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