Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary

被引：9

作者：

Fusieger, P

Ripoll, J

机构：

[1] Univ Fed Santa Maria, Dept Matemat, BR-97105900 Santa Maria, RS, Brazil

[2] Univ Fed Rio Grande Sul, Inst Matemat, BR-9150970 Porto Alegre, RS, Brazil

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2003年 / 23卷 / 04期

关键词：

radial graphs; constant mean curvature; Dirichlet Problem;

D O I：

10.1023/A:1023084817254

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate existence and uniqueness of radial graphs of constant mean curvature (cmc) with prescribed boundary. Our main result establishes the existence of a minimal radial anullus spanning two given convex curves in parallel planes of R-3; we also obtain a variant of a well-known result of James Serrin about the existence of radial cmc graphs over convex domains in the sphere.

引用

页码：373 / 400

页数：28

共 15 条

[11] PROBLEM OF DIRICHLET FOR QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS WITH MANY INDEPENDENT VARIABLES [J].