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Prescribing nearly constant curvatures on balls

dc.contributor.authorBattaglia, Luca
dc.contributor.authorCruz-Blázquez, Sergio
dc.contributor.authorPistoia, Angela
dc.date.accessioned2023-11-22T11:13:40Z
dc.date.available2023-11-22T11:13:40Z
dc.date.issued2023-09-24
dc.identifier.citationPublished version: Battaglia, L. et al. Prescribing nearly constant curvatures on balls. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2023. [https://doi.org/10.1017/prm.2023.111]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/85818
dc.descriptionS.C. acknowledges financial support from the Spanish Ministry of Universities and Next Generation EU funds, through a Margarita Salas grant from the University of Granada, by the FEDER-MINECO Grant PID2021-122122NB-I00 and by J. Andalucia (FQM-116). This work was carried out during his long visit to the University “Sapienza Universit`a di Roma”, to which he is grateful. The three authors are partially supported by the group GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM). In particular, the first and second author are funded by the project “Fenomeni di blow-up per equazioni nonlineari”, project code CUP E55F22000270001.es_ES
dc.description.abstractIn this paper we address two boundary cases of the classical Kazdan- Warner problem. More precisely, we consider the problem of prescribing the Gaussian and boundary geodesic curvature on a disk of R2, and the scalar and mean curvature on a ball in higher dimensions, via a conformal change of the metric. We deal with the case of negative interior curvature and positive boundary curvature. Using a Ljapunov- Schmidt procedure, we obtain new existence results when the prescribed functions are close to constants.es_ES
dc.description.sponsorshipSpanish Ministry of Universitieses_ES
dc.description.sponsorshipNext Generation EU funds PID2021-122122NB-I00es_ES
dc.description.sponsorshipUniversity of Granadaes_ES
dc.description.sponsorshipFEDER-MINECOes_ES
dc.description.sponsorshipJ. Andalucia FQM-116es_ES
dc.description.sponsorshipUniversity “Sapienza Università di Roma”es_ES
dc.description.sponsorshipIstituto Nazionale di Alta Matematica (INdAM)es_ES
dc.description.sponsorshipCUP E55F22000270001es_ES
dc.language.isoenges_ES
dc.publisherCornell Universityes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectPrescribed curvaturees_ES
dc.subjectConformal metricses_ES
dc.subjectLjapunov-Schmidt constructiones_ES
dc.titlePrescribing nearly constant curvatures on ballses_ES
dc.typejournal articlees_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/NextGenerationEU/PID2021-122122NB-I00es_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1017/prm.2023.111
dc.type.hasVersionSMURes_ES


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