On H\"older continuity of mappings in domains and on boundaries
Complex Variables
2019-01-21 v1
Abstract
We study mappings with branching of a domain of Euclidean space. The H\"older and Lipschitz continuity are established for one class of spatial mappings whose characteristic satisfies the Dini type condition in a given domain. In addition, we found conditions on the complex coefficient of the degenerate Beltrami equations in the unit disk under which generalized homeomorphic solutions of this equation are H\"older continuous at the points of the boundary.
Keywords
Cite
@article{arxiv.1901.06142,
title = {On H\"older continuity of mappings in domains and on boundaries},
author = {V. Ryazanov and R. Salimov and E. Sevost'yanov},
journal= {arXiv preprint arXiv:1901.06142},
year = {2019}
}