Behavior of Prescribed Mean Curvature Hypersurfaces on Reentrant Ridges

被引：0
作者：
Khanfer, Ammar [1 ]
Lancaster, Kirk E. [1 ]
机构：
[1] Prince Sultan Univ, Dept Math & Sci, Riyadh, Saudi Arabia
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 11期
关键词：
Prescribed mean curvature; Dirichlet problem; Radial limits; RADIAL LIMITS; CAPILLARY SURFACES; BOUNDARY-BEHAVIOR; MINIMAL SURFACE; EXISTENCE;
D O I：
10.1007/s12220-022-01016-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the behavior of nonparametric hypersurfaces of prescribed mean curvature near reentrant ridges on the boundary of the domain for rotationally symmetric Dirichlet problems and generalize [8, Theorem 1] to higher dimensions.
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页数：11
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