28 citations · 39 across the 8 of their papers we have counts for
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math.AP2019★ 10 cited
A maximum principle on unbounded domains and a Liouville theorem for fractional p-harmonic functions
Wenxiong Chen, Leyun Wu
In this paper, we establish the following Liouville theorem for fractional \emph{p}-harmonic functions. {\em Assume that is a bounded solution of $$(-\lap)^s_p u(x) = 0, \;\; x…
math.AP2019★ 1 cited
Monotonicity of solutions for fractional equations with De Giorgi type nonlinearities
Leyun Wu, Wenxiong Chen
In this paper, we develop a sliding method for the fractional Laplacian. We first obtain the key ingredients needed in the sliding method either in a bounded domain or in the whole…
math.AP2019
On the boundary Hölder regularity for the infinity Laplace equation
Leyun Wu, Yuanyuan Lian, Kai Zhang
In this note, we prove the boundary Hölder regularity for the infinity Laplace equation under a proper geometric condition. This geometric condition is quite general, and the exter…