From the 1 of 7 linked papers with an AI index.
7 papers
Weinstock inequalities for outward-minimizing domains
Chaoqun Gao, Yong Wei, Rong Zhou
We prove sharp Weinstock inequalities for the first nonzero Steklov eigenvalue of smooth outward-minimizing domains in Euclidean space and hyperbolic space. The method is based on…
Free boundary flows by powers of the Gauss curvature in the unit ball
Tianci Luo, Yong Wei, Rong Zhou
The paper analyzes how smooth, strictly convex hypersurfaces inside the unit ball that meet the boundary orthogonally evolve under a power of the Gauss curvature, showing they stay…
Higher regularity of the inverse anisotropic mean curvature flow
Chaoqun Gao, Yong Wei, Rong Zhou
We prove an anisotropic analogue of the higher regularity theorem of Huisken and Ilmanen for inverse mean curvature flow. For an arbitrary smooth Minkowski norm, we first prove a H…
Contraction of hypersurfaces with positive sectional curvature in hyperbolic space
Tianci Luo, Yong Wei, Rong Zhou
We study contracting curvature flows of compact hypersurfaces with positive sectional curvature in hyperbolic space . The speed is assumed to be homogeneous of de…
Asymptotic behaviour of the weak inverse anisotropic mean curvature flow
Chaoqun Gao, Yong Wei, Rong Zhou
We first establish a local gradient estimate for anisotropic -harmonic functions. A key feature of our estimate is that the constant remains bounded as ; consequently, i…
New Heintze-Karcher type inequalities in sub-static warped product manifolds
Haizhong Li, Yong Wei, Botong Xu
In this paper, we prove Heintze-Karcher type inequalities involving the shifted mean curvature for smooth bounded domains in certain sub-static warped product manifolds. In particu…