The Dirichlet problem for a class of curvature equations in Minkowski space

Fuente: arXiv
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Autori principali: Guo, Mengru, Jiao, Heming
Natura: Preprint
Pubblicazione: 2024
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author Guo, Mengru
Jiao, Heming
author_facet Guo, Mengru
Jiao, Heming
contents In this paper, we study the Dirichlet problem for a class of prescribed curvature equations in Minkowski space. We prove the existence of smooth spacelike hypersurfaces with a class of prescribed curvature and general boundary data based on establishing the \emph{a priori} $C^2$ estimates.
format Preprint
id arxiv_https___arxiv_org_abs_2409_03308
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Dirichlet problem for a class of curvature equations in Minkowski space
Guo, Mengru
Jiao, Heming
Analysis of PDEs
Differential Geometry
In this paper, we study the Dirichlet problem for a class of prescribed curvature equations in Minkowski space. We prove the existence of smooth spacelike hypersurfaces with a class of prescribed curvature and general boundary data based on establishing the \emph{a priori} $C^2$ estimates.
title The Dirichlet problem for a class of curvature equations in Minkowski space
topic Analysis of PDEs
Differential Geometry
url https://arxiv.org/abs/2409.03308