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Vodop’yanov, Sergeĭ Konstantinovich

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Author ID: vodopyanov.serguei-k Recent zbMATH articles by "Vodop’yanov, Sergeĭ Konstantinovich"
Published as: Vodop’yanov, S. K.; Vodopyanov, S. K.; Vodopyanov, Sergey; Vodop’janov, S. K.; Vodop’janov, Sergei Konstantinovitch; Vodop’yanov, Serguei K.; Vodop’yanov, Sergej K.; Vodop’yanov, Serguei; Vodop’yanov, Sergei; Vodop’yanov, Sergey; Vodop’janov, Serge; Vodopjanov, S. K.; Vodopyanov, S.
External Links: MGP · Math-Net.Ru
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Co-Authors

67 single-authored
14 Gol’dshtejn, Vladimir M.
12 Ukhlov, Alexander Dadar-Oolovich
10 Reshetnyak, Yuriĭ Grigor’evich
9 Kutateladze, Semën Samsonovich
7 Karmanova, Maria B.
7 Markina, Irina
7 Pupyshev, I. M.
6 Greshnov, Aleksandr Valer’evich
6 Isangulova, D. V.
6 Taimanov, Iskander Asanovich
4 Evseev, Nikita Aleksandrovich
4 Gordon, Evgeniĭ Izrail’evich
4 Kudryavtseva, N. A.
4 Latfullin, T. G.
4 Molchanova, Anastasia Olegovna
3 Gutman, Aleksandr Efimovich
3 Kusraev, Anatoly Georgievich
3 Vesnin, Andrei Yu.
2 Bokut, Leonid A.
2 Gol’dshtein, Vladimir Mikhailovich
2 Kondakov, Vladimir Petrovich
2 Malyugin, Sergey Artem’evich
2 Muzaev, Illarion Davidovich
2 Romanov, Aleksandr Sergeevich
2 Romanovskii, N. N.
2 Selivanova, Svetlana V.
2 Tyulenev, Alexander I.
2 Valiev, Mars K.
1 Abanin, Aleksandr Vasil’evich
1 Alborova, M. S.
1 Alexandrov, Victor A.
1 Arkhangel’skiĭ, Dmitriĭ A.
1 Avkhadiev, Farit Gabidinovich
1 Baizhanov, Bektur Sembiuly
1 Basaeva, Elena K.
1 Basalaev, S. G.
1 Baykin, Alekseĭ N.
1 Belegradek, Oleg V.
1 Belyaev, V. Ya.
1 Beresmovskiĭ, V. N.
1 Botvinnik, V. A.
1 Boyarskij, Yu. I.
1 Burenkov, Viktor Ivanovich
1 Chernikov, V. M.
1 Chirka, Evgeni M.
1 Daderkin, Dmitri O.
1 Dekhtyar, Alexander M.
1 Demidenko, Gennadiĭ Vladimirovich
1 Dikovsky, Alexander Yakovlevich
1 Dubinin, Vladimir N.
1 Dudakov, Sergey M.
1 Gitik, Moti
1 Gol’dshteyn, V. M.
1 Gol’dstein, Vladimir Mikailovitch
1 Goryainov, Viktor V.
1 Grigor’yan, Alexander Asaturovich
1 Gurevich, Yuri
1 Iwaniec, Tadeusz
1 Jain, Pankaj
1 Karmanova, M. V.
1 Kesel’man, V. M.
1 Khudalov, Marat Zakharovich
1 Klimentov, Sergeĭ Borisovich
1 Klyachin, Vladimir Aleksandrovich
1 Koibaev, Vladimir Amurkhanovich
1 Kononenko, L. J.
1 Konylov, Ya. A.
1 Kopfer, A. V.
1 Koptev, Aleksandr Viktorovich
1 Kopycov, A. P.
1 Kopylov, Anatoliĭ Pavlovich
1 Korobeĭnik, Yuriĭ Fëdorovich
1 Krushkal, Samuel L.
1 Kutatetadse, S. S.
1 Kuz’minov, Vladimir I.
1 Kysmunych, A. V.
1 Loboda, Alexander Vasil’evich
1 Ludnik, V. G.
1 Martio, Olli
1 Matiyasevich, Yuriĭ Vladimirovich
1 Mints, Grigoriĭ Efroimovich
1 Musikaev, Ilmir Kh.
1 Novikov, Sergeĭ Petrovich
1 Pelikh, V. I.
1 Pinchuk, Sergey
1 Rebrov, A. K.
1 Reshetnyakh, Yu. G.
1 Rodionov, Evgeniĭ Dmitrievich
1 Rylov, A. I.
1 Sabitov, Idzhad Khakovich
1 Semënov, Alekseĭ L’vovich
1 Sergeev, Armen Glebovich
1 Singh, Monika
1 Slavskiĭ, Viktor Vladimirovich
1 Sobolev, Sergeĭ L’vovich
1 Stolboushkin, Alexei P.
1 Tarusov, V. B.
1 Tasoev, Batradz Botazovich
1 Tkachev, Vladimir G.
1 Tomilov, A. O.
...and 12 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 752 times in 287 Documents Cited by Year
Geometry of Carnot-Carathéodory spaces and differentiability of mappings. Zbl 1146.53023
Vodopyanov, S. K.
51
2007
Geometry of Carnot-Carathéodory spaces differentiability, coarea and area formulas. Zbl 1297.53029
Karmanova, Maria; Vodop’yanov, Sergey
49
2009
Regularity of mappings inverse to Sobolev mappings. Zbl 1266.26019
Vodop’yanov, S. K.
26
2012
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1089.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
25
2004
Superposition operators in Sobolev spaces. Zbl 1033.47020
Vodop’yanov, S. K.; Ukhlov, A. D.
22
2002
Approximate differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1293.53041
Basalaev, S. G.; Vodopyanov, S. K.
21
2013
Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups. Zbl 0917.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
20
1998
Monotone functions and quasiconformal mappings on Carnot groups. Zbl 0876.30020
Vodop’yanov, S. K.
19
1996
\(\mathcal P\)-differentiability on Carnot groups in different topologies and related topics. Zbl 0992.58005
Vodop’yanov, Serguei K.
19
2000
Quasiconformal mappings and spaces of functions with generalized first derivatives. Zbl 0353.30019
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
19
1977
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.
17
2010
A classification of sub-Riemannian manifolds. Zbl 0937.31013
Vodop’yanov, S. K.; Markina, I. G.
15
1998
On geometric properties of functions with generalized first derivatives. Zbl 0429.30017
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
14
1979
A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1304.53024
Karmanova, M.; Vodopyanov, S.
14
2013
Liouville type theorems for mappings with bounded (co)-distortion. Zbl 1019.30022
Troyanov, Marc; Vodop’yanov, Sergei
13
2002
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. Zbl 1050.47031
Vodopyanov, S. K.; Ukhlov, A. D.
13
2002
Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings. Zbl 0324.46040
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
13
1975
Analytic properties of quasiconformal mappings on Carnot groups. Zbl 0891.30013
Vodop’yanov, S. K.; Greshnov, A. V.
11
1995
Approximately differentiable transformations and change of variables on nilpotent groups. Zbl 0870.43005
Vodop’yanov, S. K.; Ukhlov, A. D.
11
1996
Capacity estimates, Liouville’s theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion. Zbl 1341.30016
Baykin, A. N.; Vodop’yanov, S. K.
11
2015
Local geometry of Carnot manifolds under minimal smoothness. Zbl 1175.53046
Vodop’yanov, S. K.; Karmanova, M. B.
11
2007
Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings. Zbl 1322.46025
Vodop’yanov, S. K.; Evseev, N. A.
10
2014
On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric. Zbl 0865.30029
Vodop’yanov, S. K.; Greshnov, A. V.
9
1995
Criteria for extension of functions of the class \(L^1_2\) from unbounded plane domains. Zbl 0436.30013
Vodop’yanov, S. K.; Gol’dshtejn, V. M.; Latfullin, T. G.
9
1979
Coercive estimates and integral representation formulas on Carnot groups. Zbl 1219.43007
Isangulova, D. V.; Vodopyanov, S. K.
9
2010
On local approximation theorem on equiregular Carnot-Carathéodory spaces. Zbl 1294.53032
Karmanova, Maria; Vodopyanov, Sergey
9
2014
On the regularity of the Poletskii function under weak analytic assumptions on the given mapping. Zbl 1305.26031
Vodop’yanov, S. K.
8
2014
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1050.47030
Vodopyanov, S. K.; Ukhlov, A. D.
8
2003
Mappings of homogeneous groups and imbeddings of functional spaces. Zbl 0731.46019
Vodop’yanov, S. K.
8
1989
Criteria for the removability of sets in spaces of \(L^1_p\) quasiconformal and quasi-isometric mappings. Zbl 0409.46032
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
8
1977
Prolongement de fonctions différentiables hors de domaines plans. Zbl 0482.46019
Gol’dstein, Vladimir; Vodop’janov, Serge
8
1981
A local approximation theorem on Carnot manifolds under minimal smoothness conditions. Zbl 1188.53029
Vodop’yanov, S. K.; Karmanova, M. V.
8
2009
Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I. Zbl 0983.30009
Vodop’yanov, S. K.
7
2000
Spaces of differential forms and maps with controlled distortion. Zbl 1203.46025
Vodop’yanov, S. K.
7
2010
An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds. Zbl 1180.53035
Vodop’yanov, S. K.; Karmanova, M. B.
7
2008
Sub-Riemannian geometry for vector fields of minimal smoothness. Zbl 1184.53035
Vodop’yanov, S. K.; Karmanova, M. B.
7
2008
Superposition operators in Sobolev spaces. Zbl 1246.30044
Vodop’yanov, S. K.; Ukhlov, A. D.
7
2002
On regularity of mappings inverse to Sobolev mappings. Zbl 1234.30023
Vodop’yanov, S. K.
7
2008
Taylor’s formula and function spaces. Textbook. (Формула Тейлора и функционалъные пространства. Учебное пособие.) Zbl 0709.46009
Vodop’yanov, S. K.
6
1988
Composition operators on Sobolev spaces. Zbl 1098.46027
Vodopyanov, S. K.
6
2005
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1146.53045
Vodopyanov, S. K.
6
2007
An area formula for contact \(C^{1}\)-mappings of Carnot manifolds. Zbl 1193.51015
Karmanova, Maria; Vodopyanov, Sergey
6
2010
A coarea formula for smooth contact mappings of Carnot manifolds. Zbl 1153.53056
Vodop’yanov, S. K.; Karmanova, M. B.
6
2007
On the differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1246.30043
Vodop’yanov, S. K.; Greshnov, A. V.
6
2003
Functional characteristics of quasiisometric mappings. Zbl 0389.30014
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
6
1977
Differentiability of curves in the category of Carnot manifolds. Zbl 1134.53017
Vodop’yanov, S. K.
6
2006
Sharp geometric rigidity of isometries on Heisenberg groups. Zbl 1279.53030
Isangulova, D. V.; Vodopyanov, S. K.
6
2013
Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function. Zbl 1412.30094
Vodopyanov, S. K.
6
2018
Basics of the quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1415.30022
Vodopyanov, S. K.
6
2018
Mappings with bounded distortion and with finite distortion on Carnot groups. Zbl 0973.30021
Vodop’yanov, S. K.
5
1998
Potential theory on homogeneous groups. Zbl 0673.31005
Vodop’yanov, S. K.
5
1989
On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups. Zbl 1110.32006
Markina, Irina; Vodopyanov, Sergey
5
2006
Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings. Zbl 1348.46044
Vodop’yanov, S. K.; Evseev, N. A.
4
2015
Local estimates of the variation of mappings with bounded \(s\)-distortion on Carnot groups. Zbl 0962.30007
Vodop’yanov, S. K.; Markina, I. G.
4
1999
Weighted \(L_ p\)-potential theory on homogeneous groups. Zbl 0787.31012
Vodop’yanov, S. K.
4
1992
Closure of classes of mappings with bounded distortion on Carnot groups. Zbl 1076.30025
Vodop’yanov, S. K.
4
2004
Whitney-type theorems on extension of functions on Carnot groups. Zbl 1155.30346
Vodopyanov, S. K.; Pupyshev, I. M.
4
2006
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Zbl 1430.30011
Molchanova, Anastasia; Vodopyanov, Sergey
4
2020
Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds. Zbl 1422.58002
Vodopyanov, S. K.
4
2019
Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings. Zbl 1348.46045
Vodop’yanov, S. K.; Evseev, N. A.
3
2015
Variational problems of nonlinear elasticity in certain classes of mappings with finite distortion. Zbl 1336.49017
Vodop’yanov, S. K.; Molchanova, A. O.
3
2015
The interaction of analysis and geometry. International school-conference on analysis and geometry, Novosibirsk, Russia, August 23–September 3, 2004. Zbl 1109.00005
3
2007
Mappings of finite codistortion and Sobolev classes of functions. Zbl 1242.26012
Vodopyanov, S. K.
3
2011
Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings. Zbl 1444.46029
Vodopyanov, S. K.
3
2019
On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds. Zbl 1365.46030
Vodopyanov, S. K.
3
2016
On closedness of classes of mappings with bounded distortion on Carnot groups. Zbl 1015.30008
Vodop’yanov, S. K.
2
2002
Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations. Zbl 0878.46024
Vodop’yanov, S. K.
2
1995
Sobolev spaces and hypoelliptic equations. Zbl 0925.46011
Vodop’yanov, S. K.; Chernikov, V. M.
2
1995
Normal families of mappings on Carnot groups. Zbl 0876.30021
Vodop’yanov, S. K.; Kudryavtseva, N. A.
2
1996
Differentiability of mappings of Carnot manifolds and isomorphism of tangent cones. Zbl 1206.53037
Vodop’yanov, S. K.
2
2006
Selected works. Vol. II. Functional analysis. Partial differential equations. Compiled and edited by S. K. Vodop’yanov and G. V. Demidenko. (Избранные труды. Том II. Функциональный анализ. Дифференциальные уравнения с частными производными.) Zbl 1325.01034
Sobolev, S. L.
2
2006
Weighted Sobolev spaces and quasiconformal mappings. Zbl 1127.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
2
2005
Differentiability of the mappings of Carnot-Carathéodory spaces in the Sobolev and \(BV\)-topologies. Zbl 1164.46327
Vodop’yanov, S. K.; Isangulova, D. V.
2
2007
Differentiability of mappings in the geometry of Carnot manifolds. Zbl 1164.53345
Vodop’yanov, S. K.
2
2007
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. II. Zbl 1091.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
2
2005
Potential theory on homogeneous groups. Zbl 0695.31009
Vodop’yanov, S. K.
2
1990
The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms. Zbl 1456.30046
Vodopyanov, S. K.
2
2020
On the convergence of mappings with \(k\)-finite distortion. Zbl 1393.30020
Vodop’yanov, S. K.; Kudryavtseva, N. A.
2
2017
Sobolev \(W^1_p\)-spaces on \(d\)-thick closed subsets of \({\mathbb{R}}^n \). Zbl 1462.46044
Vodopyanov, S. K.; Tyulenev, A. I.
2
2020
On grand Sobolev spaces and pointwise description of Banach function spaces. Zbl 1464.46031
Jain, Pankaj; Molchanova, Anastasia; Singh, Monika; Vodopyanov, Sergey
2
2021
Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion. Zbl 1359.30040
Vodop’yanov, S. K.; Molchanova, A. O.
2
2016
On the Whitney problem for weighted Sobolev spaces. Zbl 06731613
Tyulenev, A. I.; Vodop’yanov, S. K.
2
2017
Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms. Zbl 1477.30053
Vodopyanov, S. K.
2
2020
Exceptional sets for solutions to subelliptic equations. Zbl 0858.35026
Vodop’yanov, S. K.; Markina, I. G.
1
1995
Topological properties of mappings from the Sobolev classes with summable Jacobian. Zbl 0961.46019
Vodop’yanov, S. K.
1
1998
Estimates of the deviation from a sphere of quasiumbilical surfaces. Zbl 0214.49205
Vodop’yanov, S. K.
1
1971
Geometric properties of domains and mappings. Lower estimates for the norm of the extension operator. Zbl 0634.46024
Vodop’yanov, S. K.
1
1987
The maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions. Zbl 0646.31010
Vodop’yanov, S. K.
1
1988
On removable singularities of bounded solutions to quasielliptic equations. Zbl 0791.35023
Alborova, M. S.; Vodop’yanov, S. K.
1
1992
Maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions. Zbl 0699.31019
Vodop’yanov, S. K.
1
1988
L\({}_ p\)-potential theory for generalized kernels. Zbl 0716.31003
Vodop’yanov, S. K.
1
1990
On the closedness of classes of mappings with bounded distortion on Carnot groups. Zbl 1064.30013
Vodop’yanov, S. K.
1
2001
Geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory. Zbl 1048.43011
Vodopyanov, S. K.
1
2003
Weighted \(L_ p\)-potential theory on homogeneous groups. Zbl 0774.31009
Vodop’yanov, S. K.
1
1992
Algebraic properties of the tangent cone to a quasimetric space with dilations. Zbl 1198.53033
Vodop’yanov, S. K.; Selivanova, S. V.
1
2009
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1219.30010
Vodop’yanov, S. K.
1
2005
Intrinsic geometries and boundary values of differentiable functions. I. Zbl 0692.46025
Vodop’yanov, S. K.
1
1989
A criterion for the possibility of eliminating sets for the spaces \(W^1_p\) of quasiconformal and quasi-isometric mappings. Zbl 0321.30024
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
1
1975
Functional characteristics of quasi-isometric mappings. Zbl 0364.30030
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
1
1976
On grand Sobolev spaces and pointwise description of Banach function spaces. Zbl 1464.46031
Jain, Pankaj; Molchanova, Anastasia; Singh, Monika; Vodopyanov, Sergey
2
2021
Moduli inequalities for \(W^1_{n-1,\mathrm{loc}}\)-mappings with weighted bounded \((q, p)\)-distortion. Zbl 1469.30050
Vodopyanov, S. K.
1
2021
Functional and analytic properties of a class of mappings in quasi-conformal analysis. Zbl 07485056
Vodopyanov, S. K.; Tomilov, A. O.
1
2021
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Zbl 1430.30011
Molchanova, Anastasia; Vodopyanov, Sergey
4
2020
The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms. Zbl 1456.30046
Vodopyanov, S. K.
2
2020
Sobolev \(W^1_p\)-spaces on \(d\)-thick closed subsets of \({\mathbb{R}}^n \). Zbl 1462.46044
Vodopyanov, S. K.; Tyulenev, A. I.
2
2020
Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms. Zbl 1477.30053
Vodopyanov, S. K.
2
2020
Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds. Zbl 1422.58002
Vodopyanov, S. K.
4
2019
Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings. Zbl 1444.46029
Vodopyanov, S. K.
3
2019
Foundations of quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1418.30015
Vodopyanov, S. K.
1
2019
Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function. Zbl 1412.30094
Vodopyanov, S. K.
6
2018
Basics of the quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1415.30022
Vodopyanov, S. K.
6
2018
On the convergence of mappings with \(k\)-finite distortion. Zbl 1393.30020
Vodop’yanov, S. K.; Kudryavtseva, N. A.
2
2017
On the Whitney problem for weighted Sobolev spaces. Zbl 06731613
Tyulenev, A. I.; Vodop’yanov, S. K.
2
2017
On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds. Zbl 1365.46030
Vodopyanov, S. K.
3
2016
Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion. Zbl 1359.30040
Vodop’yanov, S. K.; Molchanova, A. O.
2
2016
Capacity estimates, Liouville’s theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion. Zbl 1341.30016
Baykin, A. N.; Vodop’yanov, S. K.
11
2015
Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings. Zbl 1348.46044
Vodop’yanov, S. K.; Evseev, N. A.
4
2015
Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings. Zbl 1348.46045
Vodop’yanov, S. K.; Evseev, N. A.
3
2015
Variational problems of nonlinear elasticity in certain classes of mappings with finite distortion. Zbl 1336.49017
Vodop’yanov, S. K.; Molchanova, A. O.
3
2015
Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings. Zbl 1322.46025
Vodop’yanov, S. K.; Evseev, N. A.
10
2014
On local approximation theorem on equiregular Carnot-Carathéodory spaces. Zbl 1294.53032
Karmanova, Maria; Vodopyanov, Sergey
9
2014
On the regularity of the Poletskii function under weak analytic assumptions on the given mapping. Zbl 1305.26031
Vodop’yanov, S. K.
8
2014
Approximate differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1293.53041
Basalaev, S. G.; Vodopyanov, S. K.
21
2013
A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1304.53024
Karmanova, M.; Vodopyanov, S.
14
2013
Sharp geometric rigidity of isometries on Heisenberg groups. Zbl 1279.53030
Isangulova, D. V.; Vodopyanov, S. K.
6
2013
Regularity of mappings inverse to Sobolev mappings. Zbl 1266.26019
Vodop’yanov, S. K.
26
2012
Mappings of finite codistortion and Sobolev classes of functions. Zbl 1242.26012
Vodopyanov, S. K.
3
2011
Mappings with bounded \((P,Q)\)-distortion on Carnot groups. Zbl 1213.30049
Ukhlov, A.; Vodop’yanov, S. K.
17
2010
Coercive estimates and integral representation formulas on Carnot groups. Zbl 1219.43007
Isangulova, D. V.; Vodopyanov, S. K.
9
2010
Spaces of differential forms and maps with controlled distortion. Zbl 1203.46025
Vodop’yanov, S. K.
7
2010
An area formula for contact \(C^{1}\)-mappings of Carnot manifolds. Zbl 1193.51015
Karmanova, Maria; Vodopyanov, Sergey
6
2010
Geometry of Carnot-Carathéodory spaces differentiability, coarea and area formulas. Zbl 1297.53029
Karmanova, Maria; Vodop’yanov, Sergey
49
2009
A local approximation theorem on Carnot manifolds under minimal smoothness conditions. Zbl 1188.53029
Vodop’yanov, S. K.; Karmanova, M. V.
8
2009
Algebraic properties of the tangent cone to a quasimetric space with dilations. Zbl 1198.53033
Vodop’yanov, S. K.; Selivanova, S. V.
1
2009
Nonlinear potential theory for Sobolev spaces on Carnot groups. Zbl 1224.46070
Vodop’yanov, S. K.; Kudryavtseva, N. A.
1
2009
Mappings associated with weighted Sobolev spaces. Zbl 1166.30012
Ukhlov, A.; Vodopyanov, S. K.
18
2008
An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds. Zbl 1180.53035
Vodop’yanov, S. K.; Karmanova, M. B.
7
2008
Sub-Riemannian geometry for vector fields of minimal smoothness. Zbl 1184.53035
Vodop’yanov, S. K.; Karmanova, M. B.
7
2008
On regularity of mappings inverse to Sobolev mappings. Zbl 1234.30023
Vodop’yanov, S. K.
7
2008
Sharp bounds for geometric rigidity of isometries on Heisenberg groups. Zbl 1160.43005
Vodop’yanov, S. K.; Isangulova, D. V.
1
2008
Geometry of Carnot-Carathéodory spaces and differentiability of mappings. Zbl 1146.53023
Vodopyanov, S. K.
51
2007
Local geometry of Carnot manifolds under minimal smoothness. Zbl 1175.53046
Vodop’yanov, S. K.; Karmanova, M. B.
11
2007
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1146.53045
Vodopyanov, S. K.
6
2007
A coarea formula for smooth contact mappings of Carnot manifolds. Zbl 1153.53056
Vodop’yanov, S. K.; Karmanova, M. B.
6
2007
The interaction of analysis and geometry. International school-conference on analysis and geometry, Novosibirsk, Russia, August 23–September 3, 2004. Zbl 1109.00005
3
2007
Differentiability of the mappings of Carnot-Carathéodory spaces in the Sobolev and \(BV\)-topologies. Zbl 1164.46327
Vodop’yanov, S. K.; Isangulova, D. V.
2
2007
Differentiability of mappings in the geometry of Carnot manifolds. Zbl 1164.53345
Vodop’yanov, S. K.
2
2007
Differentiability of curves in the category of Carnot manifolds. Zbl 1134.53017
Vodop’yanov, S. K.
6
2006
On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups. Zbl 1110.32006
Markina, Irina; Vodopyanov, Sergey
5
2006
Whitney-type theorems on extension of functions on Carnot groups. Zbl 1155.30346
Vodopyanov, S. K.; Pupyshev, I. M.
4
2006
Differentiability of mappings of Carnot manifolds and isomorphism of tangent cones. Zbl 1206.53037
Vodop’yanov, S. K.
2
2006
Selected works. Vol. II. Functional analysis. Partial differential equations. Compiled and edited by S. K. Vodop’yanov and G. V. Demidenko. (Избранные труды. Том II. Функциональный анализ. Дифференциальные уравнения с частными производными.) Zbl 1325.01034
Sobolev, S. L.
2
2006
Composition operators on Sobolev spaces. Zbl 1098.46027
Vodopyanov, S. K.
6
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. II. Zbl 1091.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
2
2005
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1219.30010
Vodop’yanov, S. K.
1
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.
25
2004
Closure of classes of mappings with bounded distortion on Carnot groups. Zbl 1076.30025
Vodop’yanov, S. K.
4
2004
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1050.47030
Vodopyanov, S. K.; Ukhlov, A. D.
8
2003
On the differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1246.30043
Vodop’yanov, S. K.; Greshnov, A. V.
6
2003
Geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory. Zbl 1048.43011
Vodopyanov, S. K.
1
2003
Superposition operators in Sobolev spaces. Zbl 1033.47020
Vodop’yanov, S. K.; Ukhlov, A. D.
22
2002
Liouville type theorems for mappings with bounded (co)-distortion. Zbl 1019.30022
Troyanov, Marc; Vodop’yanov, Sergei
13
2002
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. Zbl 1050.47031
Vodopyanov, S. K.; Ukhlov, A. D.
13
2002
Superposition operators in Sobolev spaces. Zbl 1246.30044
Vodop’yanov, S. K.; Ukhlov, A. D.
7
2002
On closedness of classes of mappings with bounded distortion on Carnot groups. Zbl 1015.30008
Vodop’yanov, S. K.
2
2002
On the closedness of classes of mappings with bounded distortion on Carnot groups. Zbl 1064.30013
Vodop’yanov, S. K.
1
2001
\(\mathcal P\)-differentiability on Carnot groups in different topologies and related topics. Zbl 0992.58005
Vodop’yanov, Serguei K.
19
2000
Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I. Zbl 0983.30009
Vodop’yanov, S. K.
7
2000
Local estimates of the variation of mappings with bounded \(s\)-distortion on Carnot groups. Zbl 0962.30007
Vodop’yanov, S. K.; Markina, I. G.
4
1999
Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups. Zbl 0917.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
20
1998
A classification of sub-Riemannian manifolds. Zbl 0937.31013
Vodop’yanov, S. K.; Markina, I. G.
15
1998
Mappings with bounded distortion and with finite distortion on Carnot groups. Zbl 0973.30021
Vodop’yanov, S. K.
5
1998
Topological properties of mappings from the Sobolev classes with summable Jacobian. Zbl 0961.46019
Vodop’yanov, S. K.
1
1998
Monotone functions and quasiconformal mappings on Carnot groups. Zbl 0876.30020
Vodop’yanov, S. K.
19
1996
Approximately differentiable transformations and change of variables on nilpotent groups. Zbl 0870.43005
Vodop’yanov, S. K.; Ukhlov, A. D.
11
1996
Normal families of mappings on Carnot groups. Zbl 0876.30021
Vodop’yanov, S. K.; Kudryavtseva, N. A.
2
1996
Analytic properties of quasiconformal mappings on Carnot groups. Zbl 0891.30013
Vodop’yanov, S. K.; Greshnov, A. V.
11
1995
On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric. Zbl 0865.30029
Vodop’yanov, S. K.; Greshnov, A. V.
9
1995
Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations. Zbl 0878.46024
Vodop’yanov, S. K.
2
1995
Sobolev spaces and hypoelliptic equations. Zbl 0925.46011
Vodop’yanov, S. K.; Chernikov, V. M.
2
1995
Exceptional sets for solutions to subelliptic equations. Zbl 0858.35026
Vodop’yanov, S. K.; Markina, I. G.
1
1995
Weighted \(L_ p\)-potential theory on homogeneous groups. Zbl 0787.31012
Vodop’yanov, S. K.
4
1992
On removable singularities of bounded solutions to quasielliptic equations. Zbl 0791.35023
Alborova, M. S.; Vodop’yanov, S. K.
1
1992
Weighted \(L_ p\)-potential theory on homogeneous groups. Zbl 0774.31009
Vodop’yanov, S. K.
1
1992
Potential theory on homogeneous groups. Zbl 0695.31009
Vodop’yanov, S. K.
2
1990
L\({}_ p\)-potential theory for generalized kernels. Zbl 0716.31003
Vodop’yanov, S. K.
1
1990
Mappings of homogeneous groups and imbeddings of functional spaces. Zbl 0731.46019
Vodop’yanov, S. K.
8
1989
Potential theory on homogeneous groups. Zbl 0673.31005
Vodop’yanov, S. K.
5
1989
Intrinsic geometries and boundary values of differentiable functions. I. Zbl 0692.46025
Vodop’yanov, S. K.
1
1989
Taylor’s formula and function spaces. Textbook. (Формула Тейлора и функционалъные пространства. Учебное пособие.) Zbl 0709.46009
Vodop’yanov, S. K.
6
1988
The maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions. Zbl 0646.31010
Vodop’yanov, S. K.
1
1988
Maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions. Zbl 0699.31019
Vodop’yanov, S. K.
1
1988
Geometric properties of domains and mappings. Lower estimates for the norm of the extension operator. Zbl 0634.46024
Vodop’yanov, S. K.
1
1987
Prolongement de fonctions différentiables hors de domaines plans. Zbl 0482.46019
Gol’dstein, Vladimir; Vodop’janov, Serge
8
1981
On geometric properties of functions with generalized first derivatives. Zbl 0429.30017
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
14
1979
Criteria for extension of functions of the class \(L^1_2\) from unbounded plane domains. Zbl 0436.30013
Vodop’yanov, S. K.; Gol’dshtejn, V. M.; Latfullin, T. G.
9
1979
Quasiconformal mappings and spaces of functions with generalized first derivatives. Zbl 0353.30019
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
19
1977
Criteria for the removability of sets in spaces of \(L^1_p\) quasiconformal and quasi-isometric mappings. Zbl 0409.46032
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
8
1977
...and 5 more Documents
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Cited by 184 Authors

56 Karmanova, Maria B.
47 Vodop’yanov, Sergeĭ Konstantinovich
23 Ukhlov, Alexander Dadar-Oolovich
20 Gol’dshtein, Vladimir Mikhailovich
11 Evseev, Nikita Aleksandrovich
9 Ryazanov, Vladimir Il’ich
9 Sevost’yanov, Yevgen Oleksandrovych
7 Isangulova, D. V.
7 Salimov, Ruslan Radikovich
6 Greshnov, Aleksandr Valer’evich
6 Markina, Irina
6 Molchanova, Anastasia Olegovna
6 Selivanova, Svetlana V.
6 Tryamkin, Maksim Vladimirovich
5 Basalaev, S. G.
5 Morbidelli, Daniele
5 Pchelintsev, Valerii
4 Gutlyanskiĭ, Vladimir Ya.
4 Koskela, Pekka
4 Menovshchikov, A. V.
4 Tyulenev, Alexander I.
3 Dymchenko, Yuriĭ Viktorovich
3 Garofalo, Nicola
3 Menovschikov, Alexander
3 Monti, Roberto
3 Müller, Stefan
3 Troyanov, Marc
3 Zhou, Yuan
3 Zobin, Nahum
2 Battaglia, Erika
2 Buckley, Stephen M.
2 Capogna, Luca
2 Fässler, Katrin S.
2 Franchi, Bruno
2 Heinonen, Juha
2 Henao, Duvan A.
2 Hurri-Syrjānen, Ritva
2 Kleprlík, Luděk
2 Kovtonyuk, D. A.
2 Kudryavtseva, N. A.
2 Lomako, Tetiana
2 Montanari, Annamaria
2 Montefalcone, Francescopaolo
2 Nhieu, Duy-Minh
2 Pchelintsev, V. A.
2 Peltonen, Kirsi
2 Serra Cassano, Francesco
2 Shvartsman, Pavel
2 Spector, Scott J.
1 Adamowicz, Tomasz
1 Alborova, M. S.
1 Ambrosio, Luigi
1 Arutyunov, Aram Vladimirovic
1 Ball, John MacLeod
1 Balogh, Zoltán M.
1 Barchiesi, Marco
1 Baykin, Alekseĭ N.
1 Bei, Francesco
1 Biagi, Stefano
1 Biegert, Markus
1 Biroli, Marco
1 Björn, Anders
1 Bojarski, Bogdan
1 Bonfiglioli, Andrea
1 Bouali, Bouchta
1 Brakalova, Melkana Aleksandrova
1 Bramanti, Marco
1 Brandolini, Luca
1 Brewster, Kevin
1 Bukhvalov, Alexander V.
1 Buliga, Marius G.
1 Charifi, Ahmed
1 Chebanenko, Nikita Alekseevich
1 Christ, Michael
1 Ciarlet, Philippe Gaston
1 Cinti, Eleonora
1 Citti, Giovanna
1 Cowling, Michael G.
1 Danielli, Donatella
1 Davoli, Elisa
1 De Cicco, Virginia
1 Egorov, Aleksandr Anatol’evich
1 Farroni, Fernando
1 Filatov, Vladimir Vladimirovich
1 Fiorenza, Alberto
1 Friesecke, Gero
1 Gaczkowski, Michał
1 Gamara, Najoua
1 Giova, Raffaella
1 González, María del Mar
1 Górka, Przemysław
1 Guerra, André
1 Güneysu, Batu
1 Gurov, L. G.
1 Hashash, Paz
1 Hencl, Stanislav
1 Herron, David A.
1 Huang, Yonghong
1 Jain, Pankaj
1 James, Richard D.
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Cited in 78 Serials

61 Siberian Mathematical Journal
47 Doklady Mathematics
15 Journal of Mathematical Sciences (New York)
10 Journal of Mathematical Analysis and Applications
9 Mathematical Notes
7 Archive for Rational Mechanics and Analysis
7 The Journal of Geometric Analysis
6 Journal of Functional Analysis
6 Russian Mathematics
5 Journal d’Analyse Mathématique
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Calculus of Variations and Partial Differential Equations
5 St. Petersburg Mathematical Journal
4 Complex Variables and Elliptic Equations
3 Advances in Mathematics
3 Mathematische Zeitschrift
3 Transactions of the American Mathematical Society
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Potential Analysis
3 Bulletin des Sciences Mathématiques
3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
3 Complex Analysis and Operator Theory
2 Israel Journal of Mathematics
2 Arkiv för Matematik
2 Acta Mathematica
2 Journal of Soviet Mathematics
2 Mathematische Nachrichten
2 Proceedings of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Georgian Mathematical Journal
2 Izvestiya: Mathematics
2 Lobachevskii Journal of Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Analysis and Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Ukrainian Mathematical Journal
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal of Differential Equations
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Real Analysis Exchange
1 Results in Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Mathematical Imaging and Vision
1 Sbornik: Mathematics
1 The Journal of Fourier Analysis and Applications
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Matematicheskie Trudy
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika
1 Computational Methods and Function Theory
1 Communications in Mathematical Analysis
1 Frontiers of Mathematics in China
1 Tbilisi Mathematical Journal
1 Science China. Mathematics
1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
1 Problemy Analiza. Issues of Analysis
1 Analysis and Geometry in Metric Spaces
1 Nonlinear Analysis. Theory, Methods & Applications
1 Transactions of A. Razmadze Mathematical Institute
1 Bollettino dell’Unione Matematica Italiana
1 Constructive Mathematical Analysis
1 Annales Fennici Mathematici

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