49 citations · 101 across the 51 of their papers we have counts for
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Sobolev -extension operators and Neumann eigenvalues
Vladimir Gol'dshtein, Alexander Ukhlov
In this article, we consider -extension operators, , on Sobolev spaces. Based on composition operators on Sobolev spaces, we construct the extension op…
On mappings generating embedding operators in Sobolev classes on metric measure spaces
Alexander Menovschikov, Alexander Ukhlov
In this article, we study homeomorphisms that generate embedding operators in Sobolev classes on metric measure spaces by the composition rule $φ^{\ast}(f…
On the weighted Steklov eigenvalue problems in outward cuspidal domains
Prashanta Garain, Vladimir Gol'dshtein, Alexander Ukhlov
In this article, we investigate the weighted Steklov eigenvalue problem and the weighted Schrödinger--Steklov eigenvalue problem in outward cuspidal domains. We prove the solvabili…
Refined geometric characterizations of weak -quasiconformal mappings
Ruslan Salimov, Alexander Ukhlov
In this paper we consider refined geometric characterizations of weak -quasiconformal mappings , where and are domains in . We…