Boundary Expansions for Constant Mean Curvature Surfaces in the Hyperbolic Space
Analysis of PDEs
2016-08-30 v1
Abstract
We study expansions near the boundary of solutions to the Dirichlet problem for the constant mean curvature equation in the hyperbolic space. With a characterization of remainders of the expansion by multiple integrals, we establish optimal asymptotic expansions of solutions with boundary values of finite regularity and demonstrate a slight loss of regularity for coefficients.
Keywords
Cite
@article{arxiv.1608.07803,
title = {Boundary Expansions for Constant Mean Curvature Surfaces in the Hyperbolic Space},
author = {Qing Han and Yue Wang},
journal= {arXiv preprint arXiv:1608.07803},
year = {2016}
}