Qualitative properties of singular solutions to the fractional Yamabe problem

Identificadores
URI: https://hdl.handle.net/10481/85824
Exportar
RISMendeleyBibtex
Estadísticas
Statistiques d'usage de visualisation
Metadatos
Afficher la notice complète
Auteur
Cruz-Blázquez, Sergio; Dela Torre, Azahara; Ruiz Aguilar, David
Editorial
Cornell University
Materia
Isolated singularities
 
Fractional Yamabe problem
 
Nonlocal ODE
 
Morse index
 
Date
2023-04-12
Referencia bibliográfica
Published 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]
Patrocinador
FEDER-MINECO FQM-116, PID2021-122122NB-I00; Fondi Ateneo – Sapienza Università di Roma; IMAG-Maria de Maeztu Excellence CEX2020-001105-M/AEI/ 10.13039/501100011033; INdAM-GNAMPA CUP E53C22001930001; Spanish Government MTM2017-85757-P; Ministerio de Ciencia, Innovación y Universidades MCIU; Ministerio de Ciencia e Innovación IJC2018-036320-I MICINN
Résumé
In 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.
Colecciones
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Excepté là où spécifié autrement, la license de ce document est décrite en tant que Attribution-NonCommercial-NoDerivatives 4.0 Internacional