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math.DG2022★ 1 cited
Bi-Lipschitz Regularity of 2-Varifolds with the Critical Allard Condition
Yuchen Bi, Jie Zhou
For an intergral -varifold in the unit ball passing through the original point, assuming the critical Allard condition holds, that is, the a…
math.DG2022
Bi-Lipschitz rigidity for -almost CMC surfaces
Yuchen Bi, Jie Zhou
For smooth surfaces properly immersed in the unit ball of $\RR^n$ with density close to one and small Willmore energy, the optimal a priori estimate(bi-Lipschitz and para…
math.AP2022
The -convergence at the Neumann boundary for Liouville equations
Yuchen Bi, Jiayu Li, Lei Liu +1
In this paper, we study the blow-up analysis for a sequence of solutions to the Liouville type equation with exponential Neumann boundary condition. For interior case, i.e. the blo…