TY - JOUR
T1 - Heintze-Karcher Inequality for Anisotropic Free Boundary Hypersurfaces in Convex Domains
AU - Jia , Xiaohan
AU - Wang , Guofang
AU - Xia , Chao
AU - Zhang , Xuwen
JO - Journal of Mathematical Study
VL - 3
SP - 243
EP - 258
PY - 2024
DA - 2024/10
SN - 57
DO - http://doi.org/10.4208/jms.v57n3.24.01
UR - https://global-sci.org/intro/article_detail/jms/23488.html
KW - Heintze-Karcher’s inequality, constant mean curvature, free boundary surface, capillary surface, convex cone.
AB - <p style="text-align: justify;">In this paper, we prove an optimal Heintze-Karcher-type inequality for anisotropic free boundary hypersurfaces in general convex domains. The equality is
achieved for anisotropic free boundary Wulff shapes in a convex cone. As applications, we prove Alexandrov-type theorems in convex cones.</p>