A. Ukhlov

activity

20072026

most citedOn the First Eigenvalues of Free Vibrating Membrane in Conformal Regular Domains

49 citations · 101 across the 51 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

4 papers · 2 filters

math.AP2022

On the boundary behavior of weak $(p, q)$ -quasiconformal mappings

Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov

Let $Ω$ and $Ω$ be domains in the Euclidean space $R^{n}$ . We study the boundary behavior of weak $(p, q)$ -quasiconformal mappings, $φ : Ω \to Ω$ , $n-1<q\leq…

math.AP2022

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…

math.AP2022

On regularity of weighted Sobolev homeomorphisms

Valerii Pchelintsev, Alexander Ukhlov

We study the weak regularity of mappings inverse to weighted Sobolev homeomorphisms $φ : Ω \to Ω$ , where $Ω$ and $Ω$ are domains in $R^{n}$ . Using the weak re…

math.AP2022

On differentiability of Sobolev functions with respect to the Sobolev norm

Vladimir Gol'dshtein, Paz Hashash, Alexander Ukhlov

We study connections between the $W_{p}^{1}$ -differentiability and the $L_{p}$ -differentiability of Sobolev functions. We prove that, $W_{p}^{1}$ -differentiability implies the $L_{p}$ -differen…

On the boundary behavior of weak (p,q)-quasiconformal mappings

Geometric theory of composition operators on Sobolev spaces

On regularity of weighted Sobolev homeomorphisms

On differentiability of Sobolev functions with respect to the Sobolev norm

On the boundary behavior of weak $(p, q)$ -quasiconformal mappings