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math.DG2025
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…
math.DG2025
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…