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Alexander Ukhlov

Observed names: A. D. Ukhlov, A. Ukhlov, ALEXANDER UKHLOV, Ukhlov, A., Ukhlov, Alexander, Ukhlov, Alexander Dadar-oolovich, А. Д. Ухлов
Observed institutions: National Research University Higher School of Economics, Ben-Gurion University of the Negev, Novosibirsk State University, National Research Tomsk State University, Tomsk Polytechnic University, University of South Bohemia in České Budějovice, Sobolev Institute of Mathematics, University of Hradec Králové
ORCID: 0000-0001-5560-2488
Observed ORCID: 0000-0001-5560-2488
OpenAlex ID: A5061668625
Weighted Sobolev spaces and embedding theorems
2009 · V. Gol’dshtein, A. Ukhlov · Transactions of the American Mathematical Society · 187
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Sobolev spaces and (P,Q)-quasiconformal mappings of carnot groups
1998 · S. K. Vodop'yanov, A. D. Ukhlov · Siberian Mathematical Journal · 108
On mappings generating the embeddings of Sobolev spaces
1993 · A. D. Ukhlov · Siberian Mathematical Journal · 81
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems
2022 · Prashanta Garain, Alexander Ukhlov · Nonlinear Analysis · 58
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On the First Eigenvalues of Free Vibrating Membranes in Conformal Regular Domains
2016 · V. Gol’dshtein, A. Ukhlov · Archive for Rational Mechanics and Analysis · 46
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Mappings with bounded (P,Q) -distortion on Carnot groups
2009 · A. Ukhlov, S.K. Vodop'yanov · Bulletin des Sciences Mathématiques · 43
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Approximately differentiable transformations and change of variables on nilpotent groups
1996 · S. K. Vodop'yanov, A. D. Ukhlov · Siberian Mathematical Journal · 42
About homeomorphisms that induce composition operators on Sobolev spaces
2010 · V. Gol'dshtein, A. Ukhlov · Complex Variables and Elliptic Equations · 35
The spectral estimates for the Neumann–Laplace operator in space domains
2017 · V. Gol'dshtein, A. Ukhlov · Advances in Mathematics · 34
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Mappings associated with weighted Sobolev spaces
2008 · A. Ukhlov, S. K. Vodopyanov · Contemporary mathematics - American Mathematical Society · 29
On the First Eigenvalue of the Degenerate $$\varvec{p}$$ p -Laplace Operator in Non-convex Domains
2018 · V. Gol’dshtein, V. Pchelintsev, et al. · Integral Equations and Operator Theory · 24
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Conformal spectral stability estimates for the Dirichlet Laplacian
2015 · V. I. Burenkov, V. Gol'dshtein, et al. · Mathematische Nachrichten · 23
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Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian
2018 · V. Gol'dshtein, V. Pchelintsev, et al. · Journal of Mathematical Analysis and Applications · 17
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Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weightedp-Laplacian
2011 · V. Gol'dshtein, V. V. Motreanu, et al. · Complex Variables and Elliptic Equations · 17
Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary
2016 · Vladimir Gol’dshtein, Alexander Ukhlov · Studia Mathematica · 16
Sobolev Homeomorphisms and Composition Operators
2009 · Vladimir Gol’dshtein, Alexander Ukhlov · International mathematical series · 15
Differential and Geometric Properties of Sobolev Mappings
2004 · A. D. Ukhlov · Mathematical Notes · 14
Composition Operators on Sobolev Spaces and Q-Homeomorphisms
2023 · Alexander Menovschikov, Alexander Ukhlov · Computational Methods and Function Theory · 13
Sobolev Homeomorphisms and Brennan’s Conjecture
2014 · V. Gol’dshtein, A. Ukhlov · Computational Methods and Function Theory · 13
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The volume of the boundary of a Sobolev (p,q)-extension domain
2022 · Pekka Koskela, Alexander Ukhlov, et al. · Journal of Functional Analysis · 12
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Brennan's Conjecture and universal Sobolev inequalities
2013 · V. Gol'dshtein, A. Ukhlov · Bulletin des Sciences Mathématiques · 12
Brennan's conjecture for composition operators on Sobolev spaces
2012 · Gol'dshtein, Vladimir, Ukhlov, Alexander · arXiv (Cornell University) · 12
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Conformal Weights and Sobolev Embeddings
2013 · V. Gol’dshtein, A. Ukhlov · Journal of Mathematical Sciences · 11
Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings
2021 · Alexander Menovschikov, Alexander Ukhlov · Journal of Mathematical Sciences · 9
Spectral estimates of the p -Laplace Neumann operator in conformal regular domains
2016 · V. Gol’dshtein, A. Ukhlov · Transactions of A Razmadze Mathematical Institute · 9
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Works count: 92
Citation count: 1,026
H-index: 15
I10-index: 23
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