49 citations · 101 across the 51 of their papers we have counts for
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On the boundary behavior of weak -quasiconformal mappings
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
Let and be domains in the Euclidean space . We study the boundary behavior of weak -quasiconformal mappings, , $n-1<q\leq…
Geometric theory of composition operators on Sobolev spaces
Vladimir Gol'dshtein, Alexander Ukhlov
In this paper, we present the basic concepts of the geometric theory of composition operators on Sobolev spaces. The main objects of the theory are topological mappings which gener…
On regularity of weighted Sobolev homeomorphisms
Valerii Pchelintsev, Alexander Ukhlov
We study the weak regularity of mappings inverse to weighted Sobolev homeomorphisms , where and are domains in . Using the weak re…
On differentiability of Sobolev functions with respect to the Sobolev norm
Vladimir Gol'dshtein, Paz Hashash, Alexander Ukhlov
We study connections between the -differentiability and the -differentiability of Sobolev functions. We prove that, -differentiability implies the -differen…
Capacity of rings and mappings generate embeddings of Sobolev spaces
Alexander Menovschikov, Alexander Ukhlov
In this paper we give characterizations of mappings generate embeddings of Sobolev spaces in the terms of ring capacity inequalities. In addition we prove that such mappings are Li…