Boundary Expansions for Constant Mean Curvature Surfaces in the Hyperbolic Space
arXiv:1608.07803
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.