Compact hypersurfaces of prescribed mean curvature with free boundary in a ball

被引：0
作者：
Qiang, Tao [1 ]
Xia, Chao [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2022年 / 61卷 / 03期
关键词：
Prescribed mean curvature; Free boundary; Star-shaped hypersurface; Quasilinear partial differential equation; Neumann problem;
D O I：
10.1007/s10455-022-09829-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a problem of finding compact hypersurfaces of prescribed mean curvature with free boundary in a ball. We transform the problem to an equivalent problem in the half space with a conformal flat metric. Under suitable conditions on the prescribed function, we get the existence by using the method of topological degree.
引用
收藏
页码：679 / 689
页数：11
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