Existence and multiplicity of entire radial spacelike graphs with prescribed mean curvature function in certain Friedmann–Lemaître–Robertson–Walker spacetimes-Reference-Cited by-同舟云学术

Existence and multiplicity of entire radial spacelike graphs with prescribed mean curvature function in certain Friedmann–Lemaître–Robertson–Walker spacetimes

Published:2017-02-20 Issue:02 Volume:19 Page:1650006
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Bereanu Cristian¹²,de la Fuente Daniel³,Romero Alfonso⁴,Torres Pedro J.³

Affiliation:

1. Institute of Mathematics “Simion Stoilow”, Romanian Academy, 21 Calea Grivitei, Bucharest, Romania

2. University of Bucharest, Faculty of Mathematics, 14 Academiei Street, 70109 Bucharest, Romania

3. Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain

4. Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain

Abstract

We provide sufficient conditions for the existence of a uniparametric family of entire spacelike graphs with prescribed mean curvature in a Friedmann–Lemaître–Robertson–Walker spacetime with flat fiber. The proof is based on the analysis of the associated homogeneous Dirichlet problem on a Euclidean ball together with suitable bounds for the gradient which permit the prolongability of the solution to the whole space.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199716500061

Reference29 articles.

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