in this paper‎, ‎we mainly investigate how the generalized metrizability properties of the remainders affect the metrizability of rectifiable spaces‎, ‎and how the character of the remainders affects the character‎ ‎and the size of a rectifiable space‎. ‎some results in [a. v‎. ‎arhangel'skii and j‎. ‎van mill‎, ‎on topological groups with a first-countable remainder‎, ‎topology proc. 42 (2013...

We study expansions near the boundary of solutions to Dirichlet problem for constant mean curvature equation in hyperbolic space. With a characterization remainders expansion by multiple integrals, we establish optimal asymptotic with values finite regularity and demonstrate slight loss coefficients.