49 citations · 101 across the 51 of their papers we have counts for
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On geometric characterizations of mappings generate composition operators on Sobolev spaces
Alexander Ukhlov
In this work we consider refined geometric characterizations of mappings generate composition operators on Sobolev spaces. The detailed proofs in the cases and are…
On -eigenvalues of the weighted -Laplace operator in outward Hölder cuspidal domains
Prashanta Garain, Valerii Pchelintsev, Alexander Ukhlov
In this paper, we will study Neumann -eigenvalue problem for the weighted -Laplace operator in outward Hölder cuspidal domains. The suggested method is based on the compo…
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…
Mixed local and nonlocal Dirichlet -eigenvalue problem
Prashanta Garain, Alexander Ukhlov
In this article, we consider the spectral problem for the mixed local and nonlocal -Laplace operator. We discuss the existence and regularity of eigenfunction of the associated…
Capacity inequalities and Lipschitz continuity of mappings
Ruslan Salimov, Evgeny Sevost'yanov, Alexander Ukhlov
In this paper we consider topological mappings defined by -capacity inequalities in domains of . In the case we prove the Lipschitz continuity of such mappi…
On the Neumann -eigenvalue problem in Hölder singular domains
Prashanta Garain, Valerii Pchelintsev, Alexander Ukhlov
In the article we study the Neumann -eigenvalue problems in bounded Hölder -singular domains . In the case and we prov…