On boundary H\"older continuity of mappings with the Poletsky condition
Abstract
The article is devoted to the study of mappings that distort the modulus of families of paths by the Poletsky inequality type. At boundary points of a domain, we have obtained the H\"older inequality for such mappings, provided that their characteristic has finite integral averages over infinitesimal balls. In the manuscript, we have separately considered the cases of homeomorphisms and mappings with branching. Also, we have separately considered good boundaries and domains with prime ends.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.