Global regularity for minimal graphs over convex domains in hyperbolic space

نویسندگان

چکیده

In this paper we study the global regularity for solution to Dirichlet problem of equation minimal graphs over a convex domain in hyperbolic spaces. We find that depends only on convexity but independent its smoothness. Basing invariance under translation and rotation transforms, construct super-solution problem, by which prove optimal accurate problem.

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2021

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2020.09.025