×

zbMATH — the first resource for mathematics

Vodop’yanov, Sergeĭ Konstantinovich

Compute Distance To:
Author ID: vodopyanov.serguei-k Recent zbMATH articles by "Vodop'yanov, Sergeĭ Konstantinovich"
Published as: Vodop’janov, S. K.; Vodop’janov, Serge; Vodop’janov, Sergei Konstantinovitch; Vodop’yanov, S. K.; Vodop’yanov, Sergei; Vodop’yanov, Sergej K.; Vodop’yanov, Sergey; Vodop’yanov, Serguei; Vodop’yanov, Serguei K.; Vodopjanov, S. K.; Vodopyanov, S.; Vodopyanov, S. K.; Vodopyanov, Sergey
External Links: MGP · Math-Net.Ru
Documents Indexed: 168 Publications since 1970, including 6 Books
all top 5

Co-Authors

64 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 Gordon, Evgeniĭ Izrail’evich
4 Kudryavtseva, N. A.
4 Latfullin, T. G.
4 Molchanova, Anastasia Olegovna
3 Evseev, Nikita Aleksandrovich
3 Gol’dstein, Vladimir Mikailovitch
3 Kusraev, Anatoly Georgievich
3 Vesnin, Andrei Yu.
2 Bokut, Leonid A.
2 Gol’dshtein, Vladimir Mikhailovich
2 Gutman, A. E.
2 Karmanova, M. V.
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, A. I.
2 Valiev, Mars K.
1 Abanin, Aleksandr Vasil’evich
1 Alborova, M. S.
1 Alexandrov, Victor A.
1 Archangelsky, Dmitry 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 Belonogov, Vyacheslav Aleksandrovich
1 Belyaev, V. Ya.
1 Beresmovskiĭ, V. N.
1 Borisenko, A. A. jun.
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 Dekhtyar, Mikhail I.
1 Dikovsky, Alexander Yakovlevich
1 Dubinin, Vladimir N.
1 Dudakov, Sergey M.
1 Gitik, Moti
1 Gol’dshteyn, V. M.
1 Goryainov, Viktor V.
1 Grigor’yan, Alexander Asaturovich
1 Gurevich, Yuri
1 Gutman, Aleksandr Efimovich
1 Iwaniec, Tadeusz
1 Jain, Pankaj
1 Kesel’man, V. M.
1 Khudalov, Marat Zakharovich
1 Klimentov, S. B.
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 Fedorovich
1 Krushkal, Samuel L.
1 Kutatetadse, S. S.
1 Kuz’minov, Vladimir I.
1 Kysmunych, A. V.
1 Loboda, Alexander Vasil’evich
1 Losev, Alexander G.
1 Ludnik, V. G.
1 Makhnev, Aleksandr Aleksandrovich jun.
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 Semenov, Alexei Lvovich
1 Sergeev, Armen Glebovich
1 Singh, Monika
1 Slavskiĭ, Viktor Vladimirovich
1 Stolboushkin, Alexei P.
...and 15 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 695 times in 273 Documents Cited by Year
Geometry of Carnot-Carathéodory spaces differentiability, coarea and area formulas. Zbl 1297.53029
Karmanova, Maria; Vodop’yanov, Sergey
46
2009
Geometry of Carnot-Carathéodory spaces and differentiability of mappings. Zbl 1146.53023
Vodopyanov, S. K.
44
2007
Quasiconformal mappings and spaces of functions with generalized first derivatives. Zbl 0353.30019
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
24
1977
Superposition operators in Sobolev spaces. Zbl 1033.47020
Vodop’yanov, S. K.; Ukhlov, A. D.
23
2002
Approximate differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1293.53041
Basalaev, S. G.; Vodopyanov, S. K.
21
2013
Regularity of mappings inverse to Sobolev mappings. Zbl 1266.26019
Vodop’yanov, S. K.
21
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.
20
2004
Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups. Zbl 0917.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
20
1998
\(\mathcal P\)-differentiability on Carnot groups in different topologies and related topics. Zbl 0992.58005
Vodop’yanov, Serguei K.
19
2000
Monotone functions and quasiconformal mappings on Carnot groups. Zbl 0876.30020
Vodop’yanov, S. K.
17
1996
Mappings associated with weighted Sobolev spaces. Zbl 1166.30012
Ukhlov, A.; Vodopyanov, S. K.
16
2008
Mappings with bounded \((P,Q)\)-distortion on Carnot groups. Zbl 1213.30049
Ukhlov, A.; Vodop’yanov, S. K.
15
2010
A classification of sub-Riemannian manifolds. Zbl 0937.31013
Vodop’yanov, S. K.; Markina, I. G.
14
1998
Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings. Zbl 0324.46040
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
13
1975
Liouville type theorems for mappings with bounded (co)-distortion. Zbl 1019.30022
Troyanov, Marc; Vodop’yanov, Sergei
12
2002
On geometric properties of functions with generalized first derivatives. Zbl 0429.30017
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
12
1979
Local geometry of Carnot manifolds under minimal smoothness. Zbl 1175.53046
Vodop’yanov, S. K.; Karmanova, M. B.
11
2007
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. Zbl 1050.47031
Vodopyanov, S. K.; Ukhlov, A. D.
11
2002
Analytic properties of quasiconformal mappings on Carnot groups. Zbl 0891.30013
Vodop’yanov, S. K.; Greshnov, A. V.
11
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.
11
1979
A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1304.53024
Karmanova, M.; Vodopyanov, S.
10
2013
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.
9
2015
Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings. Zbl 1322.46025
Vodop’yanov, S. K.; Evseev, N. A.
9
2014
On local approximation theorem on equiregular Carnot-Carathéodory spaces. Zbl 1294.53032
Karmanova, Maria; Vodopyanov, Sergey
9
2014
Approximately differentiable transformations and change of variables on nilpotent groups. Zbl 0870.43005
Vodop’yanov, S. K.; Ukhlov, A. D.
9
1996
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
Coercive estimates and integral representation formulas on Carnot groups. Zbl 1219.43007
Isangulova, D. V.; Vodopyanov, S. K.
8
2010
A local approximation theorem on Carnot manifolds under minimal smoothness conditions. Zbl 1188.53029
Vodop’yanov, S. K.; Karmanova, M. V.
8
2009
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 with bounded distortion and with finite distortion on Carnot groups. Zbl 0973.30021
Vodop’yanov, S. K.
8
1998
Mappings of homogeneous groups and imbeddings of functional spaces. Zbl 0731.46019
Vodop’yanov, S. K.
8
1989
Prolongement de fonctions différentiables hors de domaines plans. Zbl 0482.46019
Gol’dstein, Vladimir; Vodop’janov, Serge
8
1981
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
On the regularity of the Poletskii function under weak analytic assumptions on the given mapping. Zbl 1305.26031
Vodop’yanov, S. K.
7
2014
On regularity of mappings inverse to Sobolev mappings. Zbl 1234.30023
Vodop’yanov, S. K.
7
2008
Sub-Riemannian geometry for vector fields of minimal smoothness. Zbl 1184.53035
Vodop’yanov, S. K.; Karmanova, M. B.
7
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
Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I. Zbl 0983.30009
Vodop’yanov, S. K.
7
2000
Sharp geometric rigidity of isometries on Heisenberg groups. Zbl 1279.53030
Isangulova, D. V.; Vodopyanov, S. K.
6
2013
Spaces of differential forms and maps with controlled distortion. Zbl 1203.46025
Vodop’yanov, S. K.
6
2010
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
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1146.53045
Vodopyanov, S. K.
6
2007
Differentiability of curves in the category of Carnot manifolds. Zbl 1134.53017
Vodop’yanov, S. K.
6
2006
Composition operators on Sobolev spaces. Zbl 1098.46027
Vodopyanov, S. K.
6
2005
Superposition operators in Sobolev spaces. Zbl 1246.30044
Vodop’yanov, S. K.; Ukhlov, A. D.
6
2002
Functional characteristics of quasiisometric mappings. Zbl 0389.30014
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
6
1977
On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups. Zbl 1110.32006
Markina, Irina; Vodopyanov, Sergey
5
2006
On the differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1246.30043
Vodop’yanov, S. K.; Greshnov, A. V.
5
2003
Taylor’s formula and function spaces. Textbook. Zbl 0709.46009
Vodop’yanov, S. K.
5
1988
Prolongement des fonctions de classe \(R^ n\) et applications quasi conformes. Zbl 0451.30014
Gol’dstein, Vladimir Mikailovitch; Vodop’janov, Sergei Konstantinovitch
5
1980
Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings. Zbl 1348.46044
Vodop’yanov, S. K.; Evseev, N. A.
4
2015
Whitney-type theorems on extension of functions on Carnot groups. Zbl 1155.30346
Vodopyanov, S. K.; Pupyshev, I. M.
4
2006
Closure of classes of mappings with bounded distortion on Carnot groups. Zbl 1076.30025
Vodop’yanov, S. K.
4
2004
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
Potential theory on homogeneous groups. Zbl 0673.31005
Vodop’yanov, S. K.
4
1989
Basics of the quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1415.30022
Vodopyanov, S. K.
3
2018
Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function. Zbl 1412.30094
Vodopyanov, S. K.
3
2018
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
Mappings of finite codistortion and Sobolev classes of functions. Zbl 1242.26012
Vodopyanov, S. K.
3
2011
The interaction of analysis and geometry. International school-conference on analysis and geometry, Novosibirsk, Russia, August 23–September 3, 2004. Zbl 1109.00005
Burenkov, V. I. (ed.); Iwaniec, T. (ed.); Vodopyanov, S. K. (ed.)
3
2007
On closedness of classes of mappings with bounded distortion on Carnot groups. Zbl 1015.30008
Vodop’yanov, S. K.
3
2002
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Zbl 1430.30011
Molchanova, Anastasia; Vodopyanov, Sergey
2
2020
Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds. Zbl 1422.58002
Vodopyanov, S. K.
2
2019
On the convergence of mappings with \(k\)-finite distortion. Zbl 1393.30020
Vodop’yanov, S. K.; Kudryavtseva, N. A.
2
2017
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 admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds. Zbl 1365.46030
Vodopyanov, S. K.
2
2016
Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings. Zbl 1348.46045
Vodop’yanov, S. K.; Evseev, N. A.
2
2015
Differentiability of mappings in the geometry of Carnot manifolds. Zbl 1164.53345
Vodop’yanov, S. K.
2
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 of Carnot manifolds and isomorphism of tangent cones. Zbl 1206.53037
Vodop’yanov, S. K.
2
2006
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
Normal families of mappings on Carnot groups. Zbl 0876.30021
Vodop’yanov, S. K.; Kudryavtseva, N. A.
2
1996
Sobolev spaces and hypoelliptic equations. Zbl 0925.46011
Vodop’yanov, S. K.; Chernikov, V. M.
2
1995
Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations. Zbl 0878.46024
Vodop’yanov, S. K.
2
1995
Potential theory on homogeneous groups. Zbl 0695.31009
Vodop’yanov, S. K.
2
1990
Intrinsic geometries and boundary values of differentiable functions. I. Zbl 0692.46025
Vodop’yanov, S. K.
2
1989
Maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions. Zbl 0699.31019
Vodop’yanov, S. K.
2
1988
Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings. Zbl 1444.46029
Vodopyanov, S. K.
1
2019
On the Whitney problem for weighted Sobolev spaces. Zbl 06731613
Tyulenev, A. I.; Vodop’yanov, S. K.
1
2017
Nonlinear potential theory for Sobolev spaces on Carnot groups. Zbl 1224.46070
Vodop’yanov, S. K.; Kudryavtseva, N. A.
1
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
Sharp bounds for geometric rigidity of isometries on Heisenberg groups. Zbl 1160.43005
Vodop’yanov, S. K.; Isangulova, D. V.
1
2008
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1219.30010
Vodop’yanov, S. K.
1
2005
Geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory. Zbl 1048.43011
Vodopyanov, S. K.
1
2003
On the closedness of classes of mappings with bounded distortion on Carnot groups. Zbl 1064.30013
Vodop’yanov, S. K.
1
2001
Topological properties of mappings from the Sobolev classes with summable Jacobian. Zbl 0961.46019
Vodop’yanov, S. K.
1
1998
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 0774.31009
Vodop’yanov, S. K.
1
1992
On removable singularities of bounded solutions to quasielliptic equations. Zbl 0791.35023
Alborova, M. S.; Vodop’yanov, S. K.
1
1992
L\({}_ p\)-theory of potentials and quasi-conformal mappings on homogeneous groups. Zbl 0714.31005
Vodop’yanov, S. K.
1
1989
Equivalent normalizations of Sobolev and Nikol’skiĭ spaces in domains. Boundary values and extension. Zbl 0646.46028
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
Functional characteristics of quasi-isometric mappings. Zbl 0364.30030
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
1
1976
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
Estimates of the deviation from a sphere of quasiumbilical surfaces. Zbl 0214.49205
Vodop’yanov, S. K.
1
1971
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Zbl 1430.30011
Molchanova, Anastasia; Vodopyanov, Sergey
2
2020
Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds. Zbl 1422.58002
Vodopyanov, S. K.
2
2019
Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings. Zbl 1444.46029
Vodopyanov, S. K.
1
2019
Basics of the quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1415.30022
Vodopyanov, S. K.
3
2018
Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function. Zbl 1412.30094
Vodopyanov, S. K.
3
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.
1
2017
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 admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds. Zbl 1365.46030
Vodopyanov, S. K.
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.
9
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
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 quasiconformal mappings. Zbl 1348.46045
Vodop’yanov, S. K.; Evseev, N. A.
2
2015
Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings. Zbl 1322.46025
Vodop’yanov, S. K.; Evseev, N. A.
9
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.
7
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.
10
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.
21
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.
15
2010
Coercive estimates and integral representation formulas on Carnot groups. Zbl 1219.43007
Isangulova, D. V.; Vodopyanov, S. K.
8
2010
Spaces of differential forms and maps with controlled distortion. Zbl 1203.46025
Vodop’yanov, S. K.
6
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
46
2009
A local approximation theorem on Carnot manifolds under minimal smoothness conditions. Zbl 1188.53029
Vodop’yanov, S. K.; Karmanova, M. V.
8
2009
Nonlinear potential theory for Sobolev spaces on Carnot groups. Zbl 1224.46070
Vodop’yanov, S. K.; Kudryavtseva, N. A.
1
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
Mappings associated with weighted Sobolev spaces. Zbl 1166.30012
Ukhlov, A.; Vodopyanov, S. K.
16
2008
On regularity of mappings inverse to Sobolev mappings. Zbl 1234.30023
Vodop’yanov, S. K.
7
2008
Sub-Riemannian geometry for vector fields of minimal smoothness. Zbl 1184.53035
Vodop’yanov, S. K.; Karmanova, M. B.
7
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
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.
44
2007
Local geometry of Carnot manifolds under minimal smoothness. Zbl 1175.53046
Vodop’yanov, S. K.; Karmanova, M. B.
11
2007
A coarea formula for smooth contact mappings of Carnot manifolds. Zbl 1153.53056
Vodop’yanov, S. K.; Karmanova, M. B.
6
2007
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1146.53045
Vodopyanov, S. K.
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
Burenkov, V. I. (ed.); Iwaniec, T. (ed.); Vodopyanov, S. K. (ed.)
3
2007
Differentiability of mappings in the geometry of Carnot manifolds. Zbl 1164.53345
Vodop’yanov, S. K.
2
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 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
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.
20
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.
5
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.
23
2002
Liouville type theorems for mappings with bounded (co)-distortion. Zbl 1019.30022
Troyanov, Marc; Vodop’yanov, Sergei
12
2002
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. Zbl 1050.47031
Vodopyanov, S. K.; Ukhlov, A. D.
11
2002
Superposition operators in Sobolev spaces. Zbl 1246.30044
Vodop’yanov, S. K.; Ukhlov, A. D.
6
2002
On closedness of classes of mappings with bounded distortion on Carnot groups. Zbl 1015.30008
Vodop’yanov, S. K.
3
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.
14
1998
Mappings with bounded distortion and with finite distortion on Carnot groups. Zbl 0973.30021
Vodop’yanov, S. K.
8
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.
17
1996
Approximately differentiable transformations and change of variables on nilpotent groups. Zbl 0870.43005
Vodop’yanov, S. K.; Ukhlov, A. D.
9
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
Sobolev spaces and hypoelliptic equations. Zbl 0925.46011
Vodop’yanov, S. K.; Chernikov, V. M.
2
1995
Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations. Zbl 0878.46024
Vodop’yanov, S. K.
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
Weighted \(L_ p\)-potential theory on homogeneous groups. Zbl 0774.31009
Vodop’yanov, S. K.
1
1992
On removable singularities of bounded solutions to quasielliptic equations. Zbl 0791.35023
Alborova, M. S.; Vodop’yanov, S. K.
1
1992
Potential theory on homogeneous groups. Zbl 0695.31009
Vodop’yanov, S. K.
2
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.
4
1989
Intrinsic geometries and boundary values of differentiable functions. I. Zbl 0692.46025
Vodop’yanov, S. K.
2
1989
L\({}_ p\)-theory of potentials and quasi-conformal mappings on homogeneous groups. Zbl 0714.31005
Vodop’yanov, S. K.
1
1989
Taylor’s formula and function spaces. Textbook. Zbl 0709.46009
Vodop’yanov, S. K.
5
1988
Maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions. Zbl 0699.31019
Vodop’yanov, S. K.
2
1988
Equivalent normalizations of Sobolev and Nikol’skiĭ spaces in domains. Boundary values and extension. Zbl 0646.46028
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
Prolongement des fonctions de classe \(R^ n\) et applications quasi conformes. Zbl 0451.30014
Gol’dstein, Vladimir Mikailovitch; Vodop’janov, Sergei Konstantinovitch
5
1980
On geometric properties of functions with generalized first derivatives. Zbl 0429.30017
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
12
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.
11
1979
Quasiconformal mappings and spaces of functions with generalized first derivatives. Zbl 0353.30019
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
24
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
Functional characteristics of quasiisometric mappings. Zbl 0389.30014
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
6
1977
Functional characteristics of quasi-isometric mappings. Zbl 0364.30030
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
1
1976
Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings. Zbl 0324.46040
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
13
1975
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
Estimates of the deviation from a sphere of quasiumbilical surfaces. Zbl 0214.49205
Vodop’yanov, S. K.
1
1971
all top 5

Cited by 186 Authors

50 Karmanova, Maria B.
43 Vodop’yanov, Sergeĭ Konstantinovich
21 Ukhlov, Alexander Dadar-Oolovich
20 Gol’dshtein, Vladimir Mikhailovich
10 Ryazanov, Vladimir Il’ich
9 Evseev, Nikita Aleksandrovich
8 Sevost’yanov, Yevgen Oleksandrovych
7 Isangulova, D. V.
7 Koskela, Pekka
7 Salimov, Ruslan Radikovich
6 Markina, Irina
6 Selivanova, Svetlana V.
5 Basalaev, S. G.
5 Greshnov, Aleksandr Valer’evich
5 Molchanova, Anastasia Olegovna
5 Morbidelli, Daniele
5 Pchelintsev, Valerii
5 Tryamkin, Maksim Vladimirovich
4 Gutlyanskiĭ, Vladimir Ya.
4 Kovtonyuk, D. A.
4 Menovshchikov, A. V.
4 Zhou, Yuan
3 Dymchenko, Yuriĭ Viktorovich
3 Garofalo, Nicola
3 Monti, Roberto
3 Shvartsman, Pavel
3 Troyanov, Marc
3 Zobin, Nahum
2 Battaglia, Erika
2 Bevan, Jonathan J.
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 Karmanova, M. V.
2 Kleprlík, Luděk
2 Kudryavtseva, N. A.
2 Lomako, Tetiana
2 Menovschikov, Alexander
2 Montanari, Annamaria
2 Montefalcone, Francescopaolo
2 Müller, Stefan
2 Nhieu, Duy-Minh
2 Passarelli di Napoli, Antonia
2 Peltonen, Kirsi
2 Rajala, Kai
2 Rajala, Tapio
2 Serra Cassano, Francesco
2 Soto, Tomás
2 Spector, Scott J.
2 Tyulenev, A. I.
2 Zürcher, Thomas
1 Achdou, Yves
1 Adamowicz, Tomasz
1 Alborova, M. S.
1 Ambrosio, Luigi
1 Arutyunov, Aram Vladimirovic
1 Asaki, Thomas J.
1 Ball, John M.
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 Brakalova, Melkana Aleksandrova
1 Bramanti, Marco
1 Brandolini, Luca
1 Brewster, Kevin
1 Bukhvalov, Alexander V.
1 Buliga, Marius G.
1 Chahbi, Abdellatif
1 Charifi, Ahmed
1 Chebanenko, Nikita Alekseevich
1 Christ, Michael
1 Ciarlet, Philippe Gaston
1 Cinti, Eleonora
1 Cowling, Michael G.
1 Dambrine, Marc
1 Danielli, Donatella
1 De Cicco, Virginia
1 Egorov, Aleksandr Anatol’evich
1 Farroni, Fernando
1 Filatov, V. V.
1 Gaczkowski, Michał
1 Gamara, Najoua
1 Giannetti, Flavia
1 Giova, Raffaella
1 González, María del Mar
1 Górka, Przemysław
1 Guerra, André
1 Güneysu, Batu
1 Gurov, L. G.
...and 86 more Authors
all top 5

Cited in 74 Serials

57 Siberian Mathematical Journal
43 Doklady Mathematics
13 Journal of Mathematical Sciences (New York)
11 Journal of Mathematical Analysis and Applications
8 Mathematical Notes
8 Journal of Functional Analysis
7 The Journal of Geometric Analysis
6 Russian Mathematics
6 St. Petersburg Mathematical Journal
5 Archive for Rational Mechanics and Analysis
5 Journal d’Analyse Mathématique
5 Advances in Mathematics
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Calculus of Variations and Partial Differential Equations
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 Variables and Elliptic Equations
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 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Geometric and Functional Analysis. GAFA
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Izvestiya: Mathematics
2 Lobachevskii Journal of Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
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 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 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Georgian Mathematical Journal
1 Sbornik: Mathematics
1 The Journal of Fourier Analysis and Applications
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Abstract and Applied Analysis
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

Citations by Year