4 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…
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…
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…
Geometric inequalities and their stabilities for modified quermassintegrals in hyperbolic space
Chaoqun Gao, Rong Zhou
In this paper, we first consider the curve case of Hu-Li-Wei's flow for shifted principal curvatures of h-convex hypersurfaces in proposed in [10]. We prove that…