A Liouville type theorem for fractional elliptic equation with exponential nonlinearity

2019/11/14 by Duong, Anh Tuan, Nguyen, Van Hoang · 1 citation
#35B35 #35B53 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.05966

Abstract

In this paper, we are concerned with stable solutions to the fractional elliptic equation (-Δ)^s u=e^u in \mathbb R^N, where (-Δ)^s is the fractional Laplacian with 0

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