Compact CMC Graphs in M x R with Boundary in Two Horizontal Slices

被引：0

作者：

Aiolfi, A. ^{[1
]}

Nunes, G. ^{[2
]}

Sauer, L. ^{[2
]}

Soares, R. ^{[3
]}

机构：

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

[2] Univ Fed Pelotas, BR-96001970 Pelotas, RS, Brazil

[3] Univ Rio Grande, IMEF, BR-96 20190 Rio Grande, RS, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2018年 / 49卷 / 03期

关键词：

Constant mean curvature; Dirichlet problem; Horizontal slices; CONSTANT MEAN-CURVATURE; DIRICHLET PROBLEM; MINIMAL-SURFACES; CONVEX CURVES; EQUATION; DOMAINS;

D O I：

10.1007/s00574-017-0064-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish existence and uniqueness of compact graphs of cons tant mean curvature in M x R, over bounded domains contained in M x{0}, with boundary lying in two horizontal slices of M x R.

引用

页码：659 / 672

页数：14