%A ?. ?. Sevost?yanov
%J Journal of Mathematical Sciences
%T The Boundary H?lder Continuity of Mappings with the Poletsky Condition
%X We consider mappings distorting the modulus of families of paths by means of a Poletsky type inequality. At boundary points of a domain, we prove the H?lder continuity of mappings such that integral averages of their characteristics over infinitesimal balls are finite. We separately study the classes of homeomorphisms and the classes of mappings with branching, as well as domains with good boundaries and domains with prime ends
%N 5
%P 818-835
%V 281
%D 2024
%I Springer Science+Business Media
%L zu239969