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math.AP2020★ 1 cited
An isoperimetric problem with a competing nonlocal singular term
Antoine Mellet, Yijing Wu
In this paper, we investigate the minimization of a functional in which the usual perimeter is competing with a nonlocal singular term comparable (but not necessarily equal to) a f…
math.AP2020
On the fully nonlinear Alt-Phillips equation
Yijing Wu, Hui Yu
For a parameter , we study the fully nonlinear version of the Alt-Phillips equation, , for We establish the optimal regularity of the solution…