Qualitative properties of singular solutions to the fractional Yamabe problem
Qualitative properties of singular solutions to the fractional Yamabe problem
In this paper we are interested in the qualitative properties of the solutions to the fractional Yamabe problem in $ {\mathbb R}^n $ 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 …