67 citations · 84 across the 4 of their papers we have counts for
4 papers
Semilinear equations involving the fractional Laplacian on domains
Wenxiong Chen, Yanqin Fang, Ray Yang
Applying the method of moving planes in integral forms, we establish radial symmetry for positive solutions to a class of semilinear equations involving the fractional Laplacian in…
On higher order extensions for the fractional Laplacian
Ray Yang
The technique of Caffarelli and Silvestre, characterizing the fractional Laplacian as the Dirichlet-to-Neumann map for a function U satisfying an elliptic equation in the upper hal…
Optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian
Ray Yang
We discuss the optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian. This work is related to, but addresses a different problem from,…
Homogenization of a Boundary Obstacle Problem
Ray Yang
We prove the existence of a homogenization limit for solutions of appropriately formulated sequences of boundary obstacle problems for the Laplacian on domains. Specifica…