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math.AP2020★ 1 cited
Liouville type theorems for fractional elliptic problems
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we establish Liouville type theorems for stable solutions on the whole space to the fractional elliptic equation where the nonlinearit…
math.AP2019★ 3 cited
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 is the fractional Laplacian wit…