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Optimal global regularity for minimal graphs over convex domains in hyperbolic space.
- Source :
-
Frontiers of Mathematics in China . Oct2022, Vol. 17 Issue 5, p905-914. 10p. - Publication Year :
- 2022
-
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]
- Subjects :
- *HYPERBOLIC spaces
*CONVEX domains
*DIRICHLET problem
Subjects
Details
- Language :
- English
- ISSN :
- 16733452
- Volume :
- 17
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Frontiers of Mathematics in China
- Publication Type :
- Academic Journal
- Accession number :
- 161191790
- Full Text :
- https://doi.org/10.1007/s11464-021-0963-0