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- Title
Minimal graphs in the hyperbolic space with singular asymptotic boundaries.
- Authors
Han, Qing; Shen, Weiming; Wang, Yue
- Abstract
We study asymptotic behaviors of solutions f to the Dirichlet problem for minimal graphs in the hyperbolic space with singular asymptotic boundaries under the assumption that the boundaries are piecewise regular with positive curvatures, a case which also arises in the study of a Chaplygin gas. We derive an estimate of such solutions by the corresponding solutions in the intersections of interior tangent balls. The positivity of curvatures plays an important role.
- Subjects
DIRICHLET problem; CURVATURE
- Publication
Calculus of Variations & Partial Differential Equations, 2019, Vol 58, Issue 6, pN.PAG
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-019-1655-4