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math.DG2023★ 1 cited
Stable -th capillary hypersurfaces
Jinyu Guo, Haizhong Li, Chao Xia
In this paper, we propose a new definition of stable -th capillary hypersurfaces from variational perspective for any . More precisely, we define stable $(r…
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…