@Article{JMS-57-243, author = {Jia , XiaohanWang , GuofangXia , Chao and Zhang , Xuwen}, title = {Heintze-Karcher Inequality for Anisotropic Free Boundary Hypersurfaces in Convex Domains}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {3}, pages = {243--258}, abstract = {

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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n3.24.01}, url = {http://global-sci.org/intro/article_detail/jms/23488.html} }