2 citations · 2 across the 9 of their papers we have counts for
10 papers
Stable De Giorgi conjecture of the Allen--Cahn equation in
Yong Liu, Tianci Luo, Kelei Wang +3
We prove that every bounded stable entire solution of the Allen--Cahn equation in is one-dimensional. As a consequence, the full De Giorgi conjecture in i…
Alexandrov--Fenchel inequalities for convex domains in the sphere
Tianci Luo, Yong Wei, Rong Zhou
We prove the Alexandrov--Fenchel inequalities between any two spherical quermassintegrals for smooth weakly convex domains contained in an open hemisphere, with equality if and onl…
Positive -bi-Ricci curvature and Mean curvature flow with surgery in hyperbolic space
Tianci Luo, Yong Wei, Rong Zhou
Let and . We prove that every smooth closed connected immersed hypersurface in hyperbolic space whose induced metric has positive -bi-Ricci curvature admit…
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
We study smooth compact strictly convex hypersurfaces in the unit ball that meet the support sphere orthogonally and evolve by the -Gauss curvature flow , $α>…
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…
The horospherical -Christoffel-Minkowski problem in hyperbolic space
Tianci Luo, Yong Wei
The horospherical -Christoffel-Minkowski problem was posed by Li and Xu (2022) as a problem prescribing the -th horospherical -surface area measure of -convex domains i…