53 citations · 332 across the 44 of their papers we have counts for
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math.DG2023
New monotonicity for -capacitary functions in -manifolds with nonnegative scalar curvature
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we derive general monotone quantities and geometric inequalities associated with -capacitary functions in asymptotically flat -manifolds with simple topology a…
math.DG2023★ 1 cited
Alexandrov-type theorem for singular capillary CMC hypersurfaces in the half-space
Chao Xia, Xuwen Zhang
In this paper, we consider the classification problem for critical points of relative isoperimetric-type problem in the half-space. Under certain regularity assumption, we prove an…
math.DG2023
Stable anisotropic capillary hypersurfaces in a half-space
Jinyu Guo, Chao Xia
In this paper, we study stability problem of anisotropic capillary hypersurfaces in an Euclidean half-space. We prove that any compact immersed anisotropic capillary constant aniso…