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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…
math.AP2020
Free boundary regularity in the triple membrane problem
Ovidiu Savin, Hui Yu
We investigate the regularity of the free boundaries in the 3 elastic membranes problem. We show that the two free boundaries corresponding to the coincidence regions between conse…