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.

引用

页码：177 / 209

页数：33

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