Heintze-Karcher Inequality for Anisotropic Free Boundary Hypersurfaces in Convex Domains
Xiaohan Jia , Guofang Wang , Chao Xia , Xuwen Zhang
Journal of Mathematical Study ›› 2024, Vol. 57 ›› Issue (3) : 243 -258.
In this paper, we prove an optimal Heintze-Karcher-type inequality for ani-sotropic free boundary hypersurfaces in general convex domains. The equality is achieved for anisotropic free boundary Wulff shapes in a convex cone. As applica-tions, we prove Alexandrov-type theorems in convex cones.
Heintze-Karcher’s inequality / constant mean curvature / free boundary surface / capil-lary surface / convex cone
/
| 〈 |
|
〉 |
PDF
