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math.AP2022★ 2 cited
Overdetermined problems for fully nonlinear equations with constant Dirichlet boundary conditions in space forms
Shanze Gao, Hui Ma, Mingxuan Yang
We consider overdetermined problems for two classes of fully nonlinear equations with constant Dirichlet boundary conditions in a bounded domain in space forms. We prove that if th…
math.DG2022
Closed self-similar solutions to flows by negative powers of curvature
Shanze Gao
In some warped product manifolds including space forms, we consider closed self-similar solutions to curvature flows whose speeds are negative powers of mean curvature, Gauss curva…