On the Dirichlet problem of prescribed mean curvature equations without H-convexity condition

被引：11
|
作者：
Hayasida, K [1 ]
Nakatani, M
机构：
[1] Kanazawa Univ, Fac Sci, Dept Computat Sci, Kanazawa, Ishikawa 9201192, Japan
[2] Kanazawa Inst Technol, Kanazawa, Ishikawa 9218501, Japan
来源：
NAGOYA MATHEMATICAL JOURNAL | 2000年 / 157卷
关键词：
D O I：
10.1017/S0027763000007248
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Dirichlet problem of prescribed mean curvature equations is well posed, if the boundery is H-convex. In this article we eliminate the H-convexity condition from a portion Gamma of the boundary and prove the existence theorem, where the boundary condition is satisfied on Gamma in the weak sense.
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页码：177 / 209
页数：33
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