2 citations · 5 across the 8 of their papers we have counts for
8 papers
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…
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…
Self-similar solutions to fully nonlinear curvature flows by high powers of curvature
Shanze Gao, Haizhong Li, Xianfeng Wang
In this paper, we investigate closed strictly convex hypersurfaces in which shrink self-similarly under a large family of fully nonlinear curvature flows by high…
Uniqueness of self-similar solutions to flows by quotient curvatures
Li Chen, Shanze Gao
In this paper, we consider a family of closed hypersurfaces which shrink self-similarly with speed of quotient curvatures. We show that the only such hypersurfaces are shrinking sp…
Characterizations of umbilic hypersurfaces in warped product manifolds
Shanze Gao, Hui Ma
We consider closed orientable hypersurfaces in a wide class of warped product manifolds, which include space forms, deSitter-Schwarzschild and Reissner-Nordström manifolds. By usin…
Self-similar solutions of curvature flows in warped products
Shanze Gao, Hui Ma
In this paper we study self-similar solutions in warped products satisfying , where is a nonnegative constant and is in…
Uniqueness of closed self-similar solutions to -curvature flow
Shanze Gao, Haizhong Li, Hui Ma
By adapting the test functions introduced by Choi-Daskaspoulos \cite{c-d} and Brendle-Choi-Daskaspoulos \cite{b-c-d} and exploring properties of the -th elementary symmetric fun…
Self-similar solutions of -curvature flow
Shanze Gao, Hui Ma
In this paper, employing a new inequality, we show that under certain curvature pinching condition, the strictly convex closed smooth self-similar solution of -flow must be…