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Ukhlov, Alexander Dadar-Oolovich

Author ID: ukhlov.alexander Recent zbMATH articles by "Ukhlov, Alexander Dadar-Oolovich"
Published as: Ukhlov, A.; Ukhlov, Alexander; Ukhlov, A. D.
Homepage: https://www.math.bgu.ac.il/~ukhlov/
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 57 Publications since 1993
Co-Authors: 12 Co-Authors with 52 Joint Publications
366 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 482 times in 203 Documents Cited by Year
Weighted Sobolev spaces and embedding theorems. Zbl 1180.46022
Gol’dshtein, V.; Ukhlov, A.
85
2009
On mappings generating the embeddings of Sobolev spaces. Zbl 0835.46035
Ukhlov, A. D.
33
1993
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1089.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
31
2004
Superposition operators in Sobolev spaces. Zbl 1033.47020
Vodop’yanov, S. K.; Ukhlov, A. D.
29
2002
Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups. Zbl 0917.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
26
1998
On the first eigenvalues of free vibrating membranes in conformal regular domains. Zbl 1338.35422
Gol’dshtein, V.; Ukhlov, A.
19
2016
Mappings associated with weighted Sobolev spaces. Zbl 1166.30012
Ukhlov, A.; Vodopyanov, S. K.
18
2008
Mappings with bounded \((P,Q)\)-distortion on Carnot groups. Zbl 1213.30049
Ukhlov, A.; Vodop’yanov, S. K.
18
2010
About homeomorphisms that induce composition operators on Sobolev spaces. Zbl 1246.30039
Gol’dshtein, V.; Ukhlov, A.
17
2010
Conformal spectral stability estimates for the Dirichlet Laplacian. Zbl 1330.47058
Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A.
17
2015
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. Zbl 1050.47031
Vodopyanov, S. K.; Ukhlov, A. D.
14
2002
Conformal weights and Sobolev embeddings. Zbl 1294.30102
Gol’dshtein, V.; Ukhlov, A.
12
2013
Approximately differentiable transformations and change of variables on nilpotent groups. Zbl 0870.43005
Vodop’yanov, S. K.; Ukhlov, A. D.
12
1996
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems. Zbl 1495.35010
Garain, Prashanta; Ukhlov, Alexander
12
2022
The spectral estimates for the Neumann-Laplace operator in space domains. Zbl 1387.35433
Gol’dshtein, V.; Ukhlov, A.
11
2017
Brennan’s conjecture and universal Sobolev inequalities. Zbl 1301.46013
Gol’dshtein, V.; Ukhlov, A.
10
2014
Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian. Zbl 1397.30007
Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A.
10
2018
Brennan’s conjecture for composition operators on Sobolev spaces. Zbl 1281.30008
Gol’dshtein, V.; Ukhlov, A.
9
2012
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1050.47030
Vodopyanov, S. K.; Ukhlov, A. D.
9
2003
Sobolev homeomorphisms and Brennan’s conjecture. Zbl 1307.30010
Gol’dshtein, V.; Ukhlov, A.
9
2014
Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains. Zbl 1354.35063
Gol’dshtein, V.; Ukhlov, A.
7
2016
Superposition operators in Sobolev spaces. Zbl 1246.30044
Vodop’yanov, S. K.; Ukhlov, A. D.
7
2002
On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains. Zbl 1401.35222
Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A.
7
2018
Differential and geometric properties of Sobolev mappings. Zbl 1117.46025
Ukhlov, A. D.
6
2004
Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains. Zbl 1423.35276
Gol’dshtein, Vladimir; Pchelintsev, V.; Ukhlov, A.
6
2019
Conformal spectral stability estimates for the Neumann Laplacian. Zbl 1355.47010
Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A.
5
2016
Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weighted \(p\)-Laplacian. Zbl 1232.46031
Gol’dshtein, V.; Motreanu, V. V.; Ukhlov, A.
5
2011
Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan’s conjecture. Zbl 1393.35131
Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander
5
2018
Traces of functions of \(L^1_2\) Dirichlet spaces on the Carathéodory boundary. Zbl 1367.46029
Gol’dshtein, Vladimir; Ukhlov, Alexander
4
2016
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. II. Zbl 1091.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
4
2005
Sobolev homeomorphisms and composition operators. Zbl 1200.47031
Gol’dshtein, Vladimir; Ukhlov, Alexander
3
2010
Space quasiconformal mappings and Neumann eigenvalues in fractal type domains. Zbl 1391.35298
Gol’dshtein, Vladimir; Hurri-Syrjänen, Ritva; Ukhlov, Alexander
3
2018
Composition operators in weighted Sobolev spaces on Carnot groups. Zbl 1249.46035
Ukhlov, A.
2
2011
Weighted Sobolev spaces and quasiconformal mappings. Zbl 1127.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
2
2005
Sobolev extension operators and Neumann eigenvalues. Zbl 1442.35279
Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander
2
2020
Space quasiconformal composition operators with applications to Neumann eigenvalues. Zbl 1456.35146
Gol’dshtein, Vladimir; Hurri-Syrjänen, Ritva; Pchelintsev, Valerii; Ukhlov, Alexander
2
2020
Composition operators on Sobolev spaces and Neumann eigenvalues. Zbl 1430.35174
Gol’dshtein, V.; Ukhlov, A.
2
2019
Extension operators on Sobolev spaces with decreasing integrability. Zbl 1487.46035
Ukhlov, Alexander
2
2020
Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators. Zbl 1495.35131
Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A.
2
2022
The volume of the boundary of a Sobolev \((p,q)\)-extension domain. Zbl 1503.46034
Koskela, Pekka; Ukhlov, Alexander; Zhu, Zheng
2
2022
On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms. Zbl 1455.30013
Gol’dshtein, Vladimir; Ukhlov, Alexander
1
2020
Sobolev mappings and moduli inequalities on Carnot groups. Zbl 1450.30037
Sevost’yanov, Evgenii A.; Ukhlov, Alexander
1
2020
Spectral stability estimates of Dirichlet divergence form elliptic operators. Zbl 1472.35254
Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander
1
2020
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems. Zbl 1495.35010
Garain, Prashanta; Ukhlov, Alexander
12
2022
Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators. Zbl 1495.35131
Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A.
2
2022
The volume of the boundary of a Sobolev \((p,q)\)-extension domain. Zbl 1503.46034
Koskela, Pekka; Ukhlov, Alexander; Zhu, Zheng
2
2022
Sobolev extension operators and Neumann eigenvalues. Zbl 1442.35279
Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander
2
2020
Space quasiconformal composition operators with applications to Neumann eigenvalues. Zbl 1456.35146
Gol’dshtein, Vladimir; Hurri-Syrjänen, Ritva; Pchelintsev, Valerii; Ukhlov, Alexander
2
2020
Extension operators on Sobolev spaces with decreasing integrability. Zbl 1487.46035
Ukhlov, Alexander
2
2020
On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms. Zbl 1455.30013
Gol’dshtein, Vladimir; Ukhlov, Alexander
1
2020
Sobolev mappings and moduli inequalities on Carnot groups. Zbl 1450.30037
Sevost’yanov, Evgenii A.; Ukhlov, Alexander
1
2020
Spectral stability estimates of Dirichlet divergence form elliptic operators. Zbl 1472.35254
Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander
1
2020
Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains. Zbl 1423.35276
Gol’dshtein, Vladimir; Pchelintsev, V.; Ukhlov, A.
6
2019
Composition operators on Sobolev spaces and Neumann eigenvalues. Zbl 1430.35174
Gol’dshtein, V.; Ukhlov, A.
2
2019
Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian. Zbl 1397.30007
Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A.
10
2018
On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains. Zbl 1401.35222
Gol’dshtein, V.; Pchelintsev, V.; Ukhlov, A.
7
2018
Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan’s conjecture. Zbl 1393.35131
Gol’dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander
5
2018
Space quasiconformal mappings and Neumann eigenvalues in fractal type domains. Zbl 1391.35298
Gol’dshtein, Vladimir; Hurri-Syrjänen, Ritva; Ukhlov, Alexander
3
2018
The spectral estimates for the Neumann-Laplace operator in space domains. Zbl 1387.35433
Gol’dshtein, V.; Ukhlov, A.
11
2017
On the first eigenvalues of free vibrating membranes in conformal regular domains. Zbl 1338.35422
Gol’dshtein, V.; Ukhlov, A.
19
2016
Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains. Zbl 1354.35063
Gol’dshtein, V.; Ukhlov, A.
7
2016
Conformal spectral stability estimates for the Neumann Laplacian. Zbl 1355.47010
Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A.
5
2016
Traces of functions of \(L^1_2\) Dirichlet spaces on the Carathéodory boundary. Zbl 1367.46029
Gol’dshtein, Vladimir; Ukhlov, Alexander
4
2016
Conformal spectral stability estimates for the Dirichlet Laplacian. Zbl 1330.47058
Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A.
17
2015
Brennan’s conjecture and universal Sobolev inequalities. Zbl 1301.46013
Gol’dshtein, V.; Ukhlov, A.
10
2014
Sobolev homeomorphisms and Brennan’s conjecture. Zbl 1307.30010
Gol’dshtein, V.; Ukhlov, A.
9
2014
Conformal weights and Sobolev embeddings. Zbl 1294.30102
Gol’dshtein, V.; Ukhlov, A.
12
2013
Brennan’s conjecture for composition operators on Sobolev spaces. Zbl 1281.30008
Gol’dshtein, V.; Ukhlov, A.
9
2012
Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weighted \(p\)-Laplacian. Zbl 1232.46031
Gol’dshtein, V.; Motreanu, V. V.; Ukhlov, A.
5
2011
Composition operators in weighted Sobolev spaces on Carnot groups. Zbl 1249.46035
Ukhlov, A.
2
2011
Mappings with bounded \((P,Q)\)-distortion on Carnot groups. Zbl 1213.30049
Ukhlov, A.; Vodop’yanov, S. K.
18
2010
About homeomorphisms that induce composition operators on Sobolev spaces. Zbl 1246.30039
Gol’dshtein, V.; Ukhlov, A.
17
2010
Sobolev homeomorphisms and composition operators. Zbl 1200.47031
Gol’dshtein, Vladimir; Ukhlov, Alexander
3
2010
Weighted Sobolev spaces and embedding theorems. Zbl 1180.46022
Gol’dshtein, V.; Ukhlov, A.
85
2009
Mappings associated with weighted Sobolev spaces. Zbl 1166.30012
Ukhlov, A.; Vodopyanov, S. K.
18
2008
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. II. Zbl 1091.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
4
2005
Weighted Sobolev spaces and quasiconformal mappings. Zbl 1127.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
2
2005
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1089.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
31
2004
Differential and geometric properties of Sobolev mappings. Zbl 1117.46025
Ukhlov, A. D.
6
2004
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1050.47030
Vodopyanov, S. K.; Ukhlov, A. D.
9
2003
Superposition operators in Sobolev spaces. Zbl 1033.47020
Vodop’yanov, S. K.; Ukhlov, A. D.
29
2002
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. Zbl 1050.47031
Vodopyanov, S. K.; Ukhlov, A. D.
14
2002
Superposition operators in Sobolev spaces. Zbl 1246.30044
Vodop’yanov, S. K.; Ukhlov, A. D.
7
2002
Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups. Zbl 0917.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
26
1998
Approximately differentiable transformations and change of variables on nilpotent groups. Zbl 0870.43005
Vodop’yanov, S. K.; Ukhlov, A. D.
12
1996
On mappings generating the embeddings of Sobolev spaces. Zbl 0835.46035
Ukhlov, A. D.
33
1993
all top 5

Cited by 172 Authors

37 Ukhlov, Alexander Dadar-Oolovich
30 Gol’dshtein, Vladimir Mikhailovich
23 Otárola, Enrique
23 Vodop’yanov, Sergeĭ Konstantinovich
17 Salgado, Abner J.
15 Sevost’yanov, Yevgen Oleksandrovych
11 Ryazanov, Vladimir Il’ich
10 Pchelintsev, Valery Anatol’evich
9 Salimov, Ruslan Radikovich
7 Nochetto, Ricardo Horacio
6 Evseev, Nikita Aleksandrovich
6 Vasil’eva, Anastasiya Andreevna
5 Allendes, Alejandro
5 Gutlyanskiĭ, Vladimir Ya.
4 Antil, Harbir
4 Garain, Prashanta
4 Markina, Irina
4 Molchanova, Anastasia Olegovna
4 Zhu, Zheng
3 Burenkov, Viktor Ivanovich
3 Hurri-Syrjānen, Ritva
3 Menovshchikov, A. V.
3 Tryamkin, Maksim Vladimirovich
2 Banjai, Lehel
2 Chen, Long
2 Dymchenko, Yuriĭ Viktorovich
2 Ferreira, Lucas Catão de Freitas
2 Fuica, Francisco
2 Furtado, Marcelo Fernandes
2 Guan, Xiaohong
2 Guo, Zongming
2 Karmanova, Maria B.
2 Kleprlík, Luděk
2 Koskela, Pekka
2 Kovtonyuk, D. A.
2 Kovtonyuk, Denis
2 Lomako, Tetiana
2 Maione, Alberto
2 Melenk, Jens Markus
2 Menovschikov, Alexander
2 Motreanu, Viorica Venera
2 Mugnai, Dimitri
2 Nesmelova, Ol’ga Vladimirovna
2 Quero, Daniel
2 Rankin, Richard
2 Skvortsov, Sergei Aleksandrovich
2 Souto de Medeiros, Everaldo
2 Troyanov, Marc
2 Vecchi, Eugenio
2 Wan, FangShu
1 Abdulle, Assyr
1 Afanas’eva, Elena Sergeevna
1 Al Taki, Bilal
1 Ambrosio, Luigi
1 Amundsen, David E.
1 Anthal, G. C.
1 Avkhadiev, Farit Gabidinovich
1 Aydin, Ismail
1 Baykin, Alekseĭ N.
1 Biagi, Stefano
1 Biroud, Kheireddine
1 Bojarski, Bogdan
1 Bołbotowski, Karol
1 Bonito, Andrea
1 Borthagaray, Juan Pablo
1 Breuß, Michael
1 Brown, Donald L.
1 Buhmann, Martin Dietrich
1 Byun, Sun-Sig
1 Cangiotti, Nicolò
1 Capitanelli, Raffaela
1 Caponi, Maicol
1 Chill, Ralph
1 Chu, Bryan
1 Chua, Seng-Kee
1 Citti, Giovanna
1 da Silva, João Pablo Pinheiro
1 Dai, Feng
1 Dai, Lili
1 Daíz Palencia, José Luis
1 Dovhopiatyi, Oleksandr Petrovych
1 Durán, Ricardo G.
1 el Badawy, M. A.
1 Farazmand, Mohammad
1 Farroni, Fernando
1 Fässler, Katrin S.
1 Gao, Wenjie
1 Gatto, Paolo
1 Gedicke, Joscha
1 Giacomoni, Jacques
1 Giova, Raffaella
1 Giovannardi, Gianmarco
1 Golovko, A. Yu.
1 Gurov, L. G.
1 Han, Qi
1 Hara, Takanobu
1 Harris, Isaac
1 Hashash, Paz
1 Hesthaven, Jan S.
1 Hoeltgen, Laurent
...and 72 more Authors
all top 5

Cited in 86 Serials

29 Siberian Mathematical Journal
20 Journal of Mathematical Sciences (New York)
10 Journal of Mathematical Analysis and Applications
6 Mathematical Notes
6 Complex Variables and Elliptic Equations
5 Mathematische Nachrichten
5 Calculus of Variations and Partial Differential Equations
5 St. Petersburg Mathematical Journal
4 Numerische Mathematik
4 Russian Journal of Mathematical Physics
4 Analysis and Mathematical Physics
3 Journal of Functional Analysis
3 SIAM Journal on Control and Optimization
3 The Journal of Geometric Analysis
3 Bulletin des Sciences Mathématiques
3 Lobachevskii Journal of Mathematics
3 Complex Analysis and Operator Theory
3 Transactions of A. Razmadze Mathematical Institute
2 Archive for Rational Mechanics and Analysis
2 Journal d’Analyse Mathématique
2 Ukrainian Mathematical Journal
2 Mathematics of Computation
2 SIAM Journal on Scientific Computing
2 Sbornik: Mathematics
2 Izvestiya: Mathematics
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Fractional Calculus & Applied Analysis
2 Journal of Evolution Equations
2 Foundations of Computational Mathematics
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Applied Mathematics and Optimization
1 Integral Equations and Operator Theory
1 Journal of Approximation Theory
1 Mathematische Zeitschrift
1 Mathematika
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 SIAM Journal on Numerical Analysis
1 Tôhoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Numerical Methods for Partial Differential Equations
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 Applications of Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Mathematical Imaging and Vision
1 Potential Analysis
1 Georgian Mathematical Journal
1 Filomat
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 Computing and Visualization in Science
1 Journal of Inequalities and Applications
1 Matematychni Studiï
1 Chaos
1 Revista Matemática Complutense
1 Matematicheskie Trudy
1 Communications in Contemporary Mathematics
1 Dynamical Systems
1 Computational Methods in Applied Mathematics
1 Communications on Pure and Applied Analysis
1 Computational Methods and Function Theory
1 Milan Journal of Mathematics
1 Multiscale Modeling & Simulation
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Proceedings of the Steklov Institute of Mathematics
1 Science China. Mathematics
1 Journal of Pseudo-Differential Operators and Applications
1 Eurasian Mathematical Journal
1 SIAM/ASA Journal on Uncertainty Quantification
1 Complex Analysis and its Synergies
1 Journal of Function Spaces
1 Bollettino dell’Unione Matematica Italiana
1 Electronic Research Archive
1 Annales Fennici Mathematici

Citations by Year