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math.AP2021
Regularity of free boundary for the Monge-Ampère obstacle problem
Genggeng Huang, Lan Tang, Xu-Jia Wang
In this paper, we prove the regularity of the free boundary in the Monge-Ampère obstacle problem By duality, the regularity of the free boundary is…
math.AP2021
Global estimates for elliptic equations in the non-divergence form
Weifeng Qiu, Lan Tang
This paper is devoted to establishing global estimate for strong solutions to the Dirichlet problem of uniformly elliptic equations in the non-divergence form where the…
math.AP2021
Boundary homogenization of a class of obstacle problems
Jingzhi Li, Hongyu Liu, Lan Tang +1
We study homogenization of a boundary obstacle problem on domain for some elliptic equations with uniformly elliptic coefficient matrices . For any $ ε\in\mathbb…