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Qualitative properties of singular solutions to the fractional Yamabe problem

dc.contributor.authorCruz-Blázquez, Sergio
dc.contributor.authorDela Torre, Azahara
dc.contributor.authorRuiz Aguilar, David 
dc.date.accessioned2023-11-22T11:56:16Z
dc.date.available2023-11-22T11:56:16Z
dc.date.issued2023-04-12
dc.identifier.citationPublished version: Sergio Cruz-Blázquez, Azahara DelaTorre, David Ruiz. Qualitative properties of singular solutions to the fractional Yamabe problem. Discrete and Continuous Dynamical Systems, 2023, 43(11): 4027-4041. [doi: 10.3934/dcds.2023077]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/85824
dc.descriptionS.C. is supported by the project Quantitative and qualitative aspects of nonlinear PDEs from the University of Campania Luigi Vanvitelli, funded under the MIUR bando 2017 PRIN - JPCAP. Part of this work was carried out during his visit to the University “Sapienza Universit`a di Roma”, to which he is grateful. A. DlT acknowledges financial support from the Spanish Ministry of Science and Innovation (MICINN) through the grant Juan de la Cierva-Incorporaci´on 2018 with ref. IJC2018-036320-I and from the Spanish Government through the grant MTM2017-85757-P (MICIU). She is also supported by Fondi Ateneo – Sapienza Universit`a di Roma. The three autors have been supported by the FEDER-MINECO Grant PID2021-122122NB-I00 and by J. Andalucia (FQM-116). A. DlT and D. R. also acknowledge financial support from the Spanish Ministry of Science and Innovation (MICINN), through the IMAG-Maria de Maeztu Excellence Grant CEX2020-001105- M/AEI/10.13039/501100011033.es_ES
dc.description.abstractIn this paper we are interested in the qualitative properties of the solutions to the fractional Yamabe problem in Rn which present an isolated singularity. In particular, we prove that the Morse index of any such solution is infinity. The proof uses an Emden Fowler type transformation, so that we can pass to a nonlocal 1D problem posed in R.es_ES
dc.description.sponsorshipFEDER-MINECO FQM-116, PID2021-122122NB-I00es_ES
dc.description.sponsorshipFondi Ateneo – Sapienza Università di Romaes_ES
dc.description.sponsorshipIMAG-Maria de Maeztu Excellence CEX2020-001105-M/AEI/ 10.13039/501100011033es_ES
dc.description.sponsorshipINdAM-GNAMPA CUP E53C22001930001es_ES
dc.description.sponsorshipSpanish Government MTM2017-85757-Pes_ES
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades MCIUes_ES
dc.description.sponsorshipMinisterio de Ciencia e Innovación IJC2018-036320-I MICINNes_ES
dc.language.isoenges_ES
dc.publisherCornell Universityes_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectIsolated singularitieses_ES
dc.subjectFractional Yamabe problemes_ES
dc.subjectNonlocal ODEes_ES
dc.subjectMorse indexes_ES
dc.titleQualitative properties of singular solutions to the fractional Yamabe problemes_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.3934/dcds.2023077
dc.type.hasVersionSMURes_ES


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