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Start Over Author "Liu, Yannan" Journal frontiers of mathematics in china
4 results on '"Liu, Yannan"'

2. Optimal global regularity for minimal graphs over convex domains in hyperbolic space.

Author

Li, You and Liu, Yannan

Subjects
*HYPERBOLIC spaces, *CONVEX domains, *DIRICHLET problem
Abstract

We use the concept of the inside-(a, η, h) domain to construct a subsolution to the Dirichlet problem for minimal graphs over convex domains in hyperbolic space. As an application, we prove that the Hölder exponent max{1/a, 1/(n + 1)} for the problem is optimal for any a ∈ [2, +∞]. [ABSTRACT FROM AUTHOR]

Published
2022
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