Spacelike Graphs of Prescribed Mean Curvature in the Steady State Space-Reference-Cited by-同舟云学术

Spacelike Graphs of Prescribed Mean Curvature in the Steady State Space

Published:2016-09-27 Issue:4 Volume:16 Page:807-819
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

López Rafael¹

Affiliation:

1. Departamento de Geometría y Topología, Instituto de Matemáticas (IEMath-GR),Universidad de Granada, 18071 Granada, Spain

Abstract

Abstract We study the Dirichlet problem of the constant mean curvature equation in the steady state space over a bounded domain of a slice. Under suitable conditions on the convexity of the domain, we prove the existence of a spacelike graph with constant mean curvature H, with - 1 ≤ H < 0

${-1\leq H<0}$

, and constant boundary values.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2015-5056/pdf

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