49 citations · 64 across the 12 of their papers we have counts for
12 papers
On the theory of generalized quasiconformal mappings
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the invers…
On the principal frequency of non-homogeneous membranes
Vladimir Gol'dshtein, Valery Pchelintsev
We obtained estimates for first eigenvalues of the Dirichlet boundary value problem for elliptic operators in divergence form (i.e. for the principal frequency of non-homogeneous m…
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…
A Lipschitz version of de Rham theorem for -cohomology
Vladimir Gol'dshtein, Roman Panenko
We focus our attention on the de Rham operators' underlying properties which are specified by intrinsic effects of differential geometry structures. And then we apply the procedure…
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…