@Article{JMS-57-3, author = {Xiaohan, Jia and Wang, Guofang and Xia, 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 = {https://global-sci.com/article/91447/heintze-karcher-inequality-for-anisotropic-free-boundary-hypersurfaces-in-convex-domains} }