A Liouville type theorem for fractional elliptic equation with exponential nonlinearity

Anh Tuan Duong, Van Hoang Nguyen

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