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

共 31 条

[1] CMC Graphs with Planar Boundary in H2 x R
Aiolfi, Ari J.
Klaser, Patricia
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2022, 53 (03): : 909 - 924
[2] Compact CMC Graphs in M×R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M\times \mathbb {R}$$\end{document} with Boundary in Two Horizontal Slices
A. Aiolfi
G. Nunes
L. Sauer
R. Soares
Bulletin of the Brazilian Mathematical Society, New Series, 2018, 49 (3) : 659 - 672
[3] The Jenkins-Serrin problem for translating horizontal graphs in M x R
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de Lira, Jorge H.
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[4] The boundary behavior of domains with complete translating, minimal and CMC graphs in N2 x R
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[5] Minimal graphs in M x R
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[6] The boundary behavior of domains with complete translating, minimal and CMC graphs in N~2×R
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[7] Gaussian curvature of minimal graphs in M x R
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[8] Estimates for constant mean curvature graphs in M x R
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REVISTA MATEMATICA IBEROAMERICANA, 2013, 29 (04) : 1263 - 1281
[9] The Dirichlet Problem for constant mean curvature graphs in M x R
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GEOMETRY & TOPOLOGY, 2012, 16 (02) : 1171 - 1203
[10] Schwarz lemma for conformal parametrization of minimal graphs in M x R
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DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2024, 96

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