49 citations · 107 across the 11 of their papers we have counts for
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math.AP2014★ 9 cited
A direct method of moving planes for the fractional Laplacian
Wenxiong Chen, Congming Li, Yan Li
In this paper, we develop a direct method of moving planes for the fractional Laplacian. Instead of conventional extension method introduced by Caffarelli and Silvestre, we work di…
math.AP2014★ 49 cited
Some Liouville theorems for the fractional Laplacian
Wenxiong Chen, Lorenzo D'Ambrosio, Yan Li
In this paper, we prove the following result. Let be any real number between and . Assume that is a solution of $$ \left\{\begin{array}{ll} (-Δ)^{α/2} u(x) = 0 , \;\…