Symmetry of solutions to singular fractional elliptic equations and applications

In this article, we study the symmetry of positive solutions to a class of singular semilinear elliptic equations whose prototype is \begin{align*} (P) \quad \left\lbrace \begin{array}{ll} (-\Delta )^{s}u = \frac{1}{u^\delta } + f(u), \; u>0\quad & \text{ in }\Omega ; \\ u=0 & \text{ in...

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Bibliographic Details
Published in:Comptes Rendus. Mathématique
Main Authors: Arora, Rakesh, Giacomoni, Jacques, Goel, Divya, Sreenadh, Konijeti
Format: Article
Language:English
Published: Académie des sciences 2020-06-01
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.58/