@misc{10481/85824,
year = {2023},
month = {4},
url = {https://hdl.handle.net/10481/85824},
abstract = {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.},
organization = {FEDER-MINECO
	FQM-116, PID2021-122122NB-I00},
organization = {Fondi Ateneo – Sapienza Università di Roma},
organization = {IMAG-Maria de Maeztu Excellence
	CEX2020-001105-M/AEI/ 10.13039/501100011033},
organization = {INdAM-GNAMPA
	CUP E53C22001930001},
organization = {Spanish Government
	MTM2017-85757-P},
organization = {Ministerio de Ciencia, Innovación y Universidades
 	MCIU},
organization = {Ministerio de Ciencia e Innovación
 IJC2018-036320-I	MICINN},
publisher = {Cornell University},
keywords = {Isolated singularities},
keywords = {Fractional Yamabe problem},
keywords = {Nonlocal ODE},
keywords = {Morse index},
title = {Qualitative properties of singular solutions to the fractional Yamabe problem},
doi = {10.3934/dcds.2023077},
author = {Cruz-Blázquez, Sergio and Dela Torre, Azahara and Ruiz Aguilar, David},
}