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Vodop’yanov, Sergeĭ Konstantinovich

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

73 single-authored
14 Gol’dshtejn, Vladimir M.
12 Ukhlov, Alexander Dadar-Oolovich
11 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 Taĭmanov, Iskander Asanovich
5 Molchanova, Anastasia Olegovna
4 Evseev, Nikita Aleksandrovich
4 Gordon, Evgeniĭ Izrail’evich
4 Kudryavtseva, N. A.
4 Kusraev, Anatoliĭ Georgievich
4 Latfullin, T. G.
3 Basalaev, Sergey G.
3 Gutman, Aleksandr Efimovich
3 Vesnin, Andrei Yu.
2 Abanin, Aleksandr Vasil’evich
2 Bokut, Leonid A.
2 Burenkov, Viktor Ivanovich
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 Umarkhadzhiev, Salaudin Musaevich
2 Valiev, Mars K.
1 Alborova, M. S.
1 Alexandrov, Victor A.
1 Arkhangel’skiĭ, Dmitriĭ A.
1 Avkhadiev, Farit Gabidinovich
1 Avsyankin, Oleg Gennadievich
1 Baizhanov, Bektur Sembiuly
1 Basaeva, Elena K.
1 Baykin, Alekseĭ N.
1 Belegradek, Oleg V.
1 Belonogov, Vyacheslav Aleksandrovich
1 Belyaev, V. Ya.
1 Beresmovskiĭ, V. N.
1 Borisenko, Aleksandr Andreevich
1 Botvinnik, V. A.
1 Boyarskij, Yu. I.
1 Chernikov, V. M.
1 Chirka, Evgeniĭ Mikhaĭlovich
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 Erusalimskii, Yakov M.
1 Gitik, Moti
1 Gol’dman, Mikhail L’vovich
1 Gol’dshteyn, V. M.
1 Gol’dstein, Vladimir Mikailovitch
1 Goryainov, Viktor V.
1 Grigor’yan, Alexander Asaturovich
1 Guliyev, Vagif Sabir
1 Gurevich, Yuri
1 Iwaniec, Tadeusz
1 Jain, Pankaj
1 Karapetyants, Alekseĭ Nikolaevich
1 Karmanova, M. V.
1 Karyakin, Mikhail I.
1 Kesel’man, V. M.
1 Khudalov, Marat Zakharovich
1 Klimentov, Sergeĭ Borisovich
1 Klyachin, Vladimir Aleksandrovich
1 Koĭbaev, Vladimir Amurkhanovich
1 Kokilashvili, Vakhtang
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 Liflyand, Elijah
1 Loboda, Aleksandr 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 Pskhu, Arsen Vladimirovich
1 Rabinovich, Vladimir Samuilovich
1 Rebrov, A. K.
1 Rodionov, Evgeniĭ Dmitrievich
...and 31 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 1,251 times in 454 Documents Cited by Year
Geometry of Carnot-Carathéodory spaces and differentiability of mappings. Zbl 1146.53023
Vodopyanov, S. K.
62
2007
Geometry of Carnot-Carathéodory spaces differentiability, coarea and area formulas. Zbl 1297.53029
Karmanova, Maria; Vodop’yanov, Sergey
55
2009
Superposition operators in Sobolev spaces. Zbl 1033.47020
Vodop’yanov, S. K.; Ukhlov, A. D.
48
2002
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1089.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
45
2004
Regularity of mappings inverse to Sobolev mappings. Zbl 1266.26019
Vodop’yanov, S. K.
38
2012
Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups. Zbl 0917.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
37
1998
Approximate differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1293.53041
Basalaev, S. G.; Vodopyanov, S. K.
36
2013
\(\mathcal P\)-differentiability on Carnot groups in different topologies and related topics. Zbl 0992.58005
Vodop’yanov, Serguei K.
30
2000
Quasiconformal mappings and spaces of functions with generalized first derivatives. Zbl 0353.30019
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
29
1977
Monotone functions and quasiconformal mappings on Carnot groups. Zbl 0876.30020
Vodop’yanov, S. K.
27
1996
Mappings of homogeneous groups and imbeddings of functional spaces. Zbl 0731.46019
Vodop’yanov, S. K.
24
1989
On geometric properties of functions with generalized first derivatives. Zbl 0429.30017
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
24
1979
Lattice isomorphisms of the spaces \(W^1_n\) and quasiconformal mappings. Zbl 0324.46040
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
23
1975
Quasikonforme Abbildungen und Räume von Funktionen mit rechtsseitigen verallgemeinerten Ableitungen. Zbl 0339.30018
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
23
1976
Mappings associated with weighted Sobolev spaces. Zbl 1166.30012
Ukhlov, A.; Vodopyanov, S. K.
23
2008
Mappings with bounded \((P,Q)\)-distortion on Carnot groups. Zbl 1213.30049
Ukhlov, A.; Vodop’yanov, S. K.
19
2010
A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1304.53024
Karmanova, M.; Vodopyanov, S.
19
2013
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Zbl 1430.30011
Molchanova, Anastasia; Vodopyanov, Sergey
16
2020
A classification of sub-Riemannian manifolds. Zbl 0937.31013
Vodop’yanov, S. K.; Markina, I. G.
16
1998
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.
15
1995
Taylor’s formula and function spaces. Textbook. (Формула Тейлора и функционалъные пространства. Учебное пособие.) Zbl 0709.46009
Vodop’yanov, S. K.
15
1988
Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings. Zbl 1322.46025
Vodop’yanov, S. K.; Evseev, N. A.
15
2014
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. Zbl 1050.47031
Vodopyanov, S. K.; Ukhlov, A. D.
15
2002
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.
14
1979
Verbandsisomorphismen der \(W^1_n\)-Räume und quasikonforme Abbildungen. Zbl 0309.46029
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
14
1975
Coercive estimates and integral representation formulas on Carnot groups. Zbl 1219.43007
Isangulova, D. V.; Vodopyanov, S. K.
14
2010
Approximately differentiable transformations and change of variables on nilpotent groups. Zbl 0870.43005
Vodop’yanov, S. K.; Ukhlov, A. D.
14
1996
Sobolev spaces and hypoelliptic equations. Zbl 0925.46011
Vodop’yanov, S. K.; Chernikov, V. M.
13
1995
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.
13
2015
Liouville type theorems for mappings with bounded (co)-distortion. Zbl 1019.30022
Troyanov, Marc; Vodop’yanov, Sergei
13
2002
Analytic properties of quasiconformal mappings on Carnot groups. Zbl 0891.30013
Vodop’yanov, S. K.; Greshnov, A. V.
12
1995
L\({}_ p\)-theory of potentials and quasi-conformal mappings on homogeneous groups. Zbl 0714.31005
Vodop’yanov, S. K.
12
1989
Prolongement de fonctions différentiables hors de domaines plans. Zbl 0482.46019
Gol’dstein, Vladimir; Vodop’janov, Serge
12
1981
Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function. Zbl 1412.30094
Vodopyanov, S. K.
12
2018
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.
11
1977
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1146.53045
Vodopyanov, S. K.
11
2007
Functional characteristics of quasiisometric mappings. Zbl 0389.30014
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
11
1977
Über geometrische Eigenschaften von Funktionen mit ersten verallgemeinerten Ableitungen. Zbl 0407.30012
Vodop’yanov, S. K.; Gol’dshteĭn, V. M.; Reshetnyak, Yu. G.
11
1979
Local geometry of Carnot manifolds under minimal smoothness. Zbl 1175.53046
Vodop’yanov, S. K.; Karmanova, M. B.
11
2007
Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I. Zbl 0983.30009
Vodop’yanov, S. K.
11
2000
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1050.47030
Vodopyanov, S. K.; Ukhlov, A. D.
11
2003
Mappings with bounded distortion and with finite distortion on Carnot groups. Zbl 0973.30021
Vodop’yanov, S. K.
11
1998
On the differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1246.30043
Vodop’yanov, S. K.; Greshnov, A. V.
10
2003
Prolongement des fonctions de classe \(R^ n\) et applications quasi conformes. Zbl 0451.30014
Gol’dstein, Vladimir Mikailovitch; Vodop’janov, Sergei Konstantinovitch
10
1980
Basics of the quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1415.30022
Vodopyanov, S. K.
10
2018
Kriterium der Fortsetzung von Funktionen der Klasse \(L^1_2\) aus unbeschränkten ebenen Gebieten. Zbl 0416.30014
Vodop’yanov, S. K.; Gol’dshtejn, V. M.; Latfullin, T. G.
9
1979
Composition operators on Sobolev spaces. Zbl 1098.46027
Vodopyanov, S. K.
9
2005
Spaces of differential forms and maps with controlled distortion. Zbl 1203.46025
Vodop’yanov, S. K.
9
2010
On local approximation theorem on equiregular Carnot-Carathéodory spaces. Zbl 1294.53032
Karmanova, Maria; Vodopyanov, Sergey
9
2014
On regularity of mappings inverse to Sobolev mappings. Zbl 1234.30023
Vodop’yanov, S. K.
8
2008
The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms. Zbl 1456.30046
Vodopyanov, S. K.
8
2020
Sub-Riemannian geometry for vector fields of minimal smoothness. Zbl 1184.53035
Vodop’yanov, S. K.; Karmanova, M. B.
8
2008
Closure of classes of mappings with bounded distortion on Carnot groups. Zbl 1076.30025
Vodop’yanov, S. K.
8
2004
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. II. Zbl 1091.47027
Vodop’yanov, S. K.; Ukhlov, A. D.
8
2005
On the regularity of the Poletskii function under weak analytic assumptions on the given mapping. Zbl 1305.26031
Vodop’yanov, S. K.
8
2014
A local approximation theorem on Carnot manifolds under minimal smoothness conditions. Zbl 1188.53029
Vodop’yanov, S. K.; Karmanova, M. V.
8
2009
On grand Sobolev spaces and pointwise description of Banach function spaces. Zbl 1464.46031
Jain, Pankaj; Molchanova, Anastasia; Singh, Monika; Vodopyanov, Sergey
7
2021
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 geometric rigidity of isometries on Heisenberg groups. Zbl 1279.53030
Isangulova, D. V.; Vodopyanov, S. K.
7
2013
On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds. Zbl 1365.46030
Vodopyanov, S. K.
7
2016
Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings. Zbl 1348.46045
Vodop’yanov, S. K.; Evseev, N. A.
7
2015
An area formula for contact \(C^{1}\)-mappings of Carnot manifolds. Zbl 1193.51015
Karmanova, Maria; Vodopyanov, Sergey
7
2010
Differentiability of curves in the category of Carnot manifolds. Zbl 1134.53017
Vodop’yanov, S. K.
6
2006
Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations. Zbl 0878.46024
Vodop’yanov, S. K.
6
1995
A coarea formula for smooth contact mappings of Carnot manifolds. Zbl 1153.53056
Vodop’yanov, S. K.; Karmanova, M. B.
6
2007
Potential theory on homogeneous groups. Zbl 0673.31005
Vodop’yanov, S. K.
6
1989
Functional and analytic properties of a class of mappings in quasi-conformal analysis. Zbl 1486.30074
Vodopyanov, S. K.; Tomilov, A. O.
6
2021
Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds. Zbl 1422.58002
Vodopyanov, S. K.
6
2019
Sobolev \(W^1_p\)-spaces on \(d\)-thick closed subsets of \({\mathbb{R}}^n \). Zbl 1462.46044
Vodopyanov, S. K.; Tyulenev, A. I.
6
2020
Nonlinear potential theory for Sobolev spaces on Carnot groups. Zbl 1224.46070
Vodop’yanov, S. K.; Kudryavtseva, N. A.
6
2009
Superposition operators in Sobolev spaces. Zbl 1246.30044
Vodop’yanov, S. K.; Ukhlov, A. D.
6
2002
Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings. Zbl 1348.46044
Vodop’yanov, S. K.; Evseev, N. A.
6
2015
Whitney-type theorems on extension of functions on Carnot groups. Zbl 1150.30334
Vodop’yanov, S. K.; Pupyshev, I. M.
5
2006
Functional characteristics of quasi-isometric mappings. Zbl 0364.30030
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
5
1976
Kriterium der Hebbarkeit von Mengen für \(L^1_p\)-Räume, quasikonforme und quasiisometrische Abbildungen. Zbl 0349.46031
Vodop’yanov, S. K.; Gol’dshtejn, V. M.
5
1977
Whitney-type theorems on extension of functions on Carnot groups. Zbl 1155.30346
Vodopyanov, S. K.; Pupyshev, I. M.
5
2006
Weighted \(L_ p\)-potential theory on homogeneous groups. Zbl 0787.31012
Vodop’yanov, S. K.
5
1992
Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion. Zbl 1359.30040
Vodop’yanov, S. K.; Molchanova, A. O.
5
2016
Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms. Zbl 1477.30053
Vodopyanov, S. K.
5
2020
On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups. Zbl 1110.32006
Markina, Irina; Vodopyanov, Sergey
5
2006
Local estimates of the variation of mappings with bounded \(s\)-distortion on Carnot groups. Zbl 0962.30007
Vodop’yanov, S. K.; Markina, I. G.
5
1999
Variational problems of nonlinear elasticity in certain classes of mappings with finite distortion. Zbl 1336.49017
Vodop’yanov, S. K.; Molchanova, A. O.
5
2015
Metric completion of a domain by using a conformal capacity invariant under quasi-conformal mappings. Zbl 0399.30023
Gol’dshtejn, V. M.; Vodop’yanov, S. K.
4
1978
Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings. Zbl 1444.46029
Vodopyanov, S. K.
4
2019
Moduli inequalities for \(W^1_{n-1,\mathrm{loc}}\)-mappings with weighted bounded \((q, p)\)-distortion. Zbl 1469.30050
Vodopyanov, S. K.
4
2021
The interaction of analysis and geometry. International school-conference on analysis and geometry, Novosibirsk, Russia, August 23–September 3, 2004. Zbl 1109.00005
4
2007
On the Whitney problem for weighted Sobolev spaces. Zbl 06731613
Tyulenev, A. I.; Vodop’yanov, S. K.
4
2017
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.
4
2006
Geometric properties of domains and mappings. Lower estimates for the norm of the extension operator. Zbl 0634.46024
Vodop’yanov, S. K.
3
1987
Differentiability of mappings in the geometry of Carnot manifolds. Zbl 1164.53345
Vodop’yanov, S. K.
3
2007
Potential theory on homogeneous groups. Zbl 0695.31009
Vodop’yanov, S. K.
3
1990
Mappings of finite codistortion and Sobolev classes of functions. Zbl 1242.26012
Vodopyanov, S. K.
3
2011
Foundations of quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1418.30015
Vodopyanov, S. K.
3
2019
On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms. Zbl 1457.30007
Vodop’yanov, S. K.
3
2020
Sobolev classes of mappings on a Carnot-Carathéodory space: various norms and variational problems. Zbl 1224.46071
Vodop’yanov, S. K.; Romanovskij, N. N.
3
2008
On closedness of classes of mappings with bounded distortion on Carnot groups. Zbl 1015.30008
Vodop’yanov, S. K.
3
2002
Equivalent normalizations of Sobolev and Nikol’skiĭ spaces in domains. Boundary values and extension. Zbl 0646.46028
Vodop’yanov, S. K.
2
1988
Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups. Zbl 1486.30150
Vodopyanov, S. K.; Evseev, N. A.
2
2022
Differentiability of mappings of Carnot manifolds and isomorphism of tangent cones. Zbl 1206.53037
Vodop’yanov, S. K.
2
2006
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
Continuity of the mappings with finite distortion of the Sobolev class \(W^1_{\nu,\operatorname{loc}}\) on Carnot groups. Zbl 1523.30074
Vodopyanov, S. K.
2
2023
Hölder continuity of the traces of Sobolev functions to hypersurfaces in Carnot groups and the \(\mathcal{P} \)-differentiability of Sobolev mappings. Zbl 1530.46032
Basalaev, S. G.; Vodopyanov, S. K.
1
2023
Openness and discreteness of mappings of finite distortion on Carnot groups. Zbl 1529.30060
Basalaev, S. G.; Vodopyanov, S. K.
1
2023
The boundary behavior of \(\mathcal{Q}_{p,q}\)-homeomorphisms. Zbl 1529.30028
Vodopyanov, S. K.; Molchanova, A. O.
1
2023
Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups. Zbl 1486.30150
Vodopyanov, S. K.; Evseev, N. A.
2
2022
Coincidence of set functions in quasiconformal analysis. Zbl 1523.30035
Vodopyanov, Sergei K.
2
2022
On Poletsky-type modulus inequalities for some classes of mappings. Zbl 1516.30033
Vodopyanov, Sergey K.
1
2022
On grand Sobolev spaces and pointwise description of Banach function spaces. Zbl 1464.46031
Jain, Pankaj; Molchanova, Anastasia; Singh, Monika; Vodopyanov, Sergey
7
2021
Functional and analytic properties of a class of mappings in quasi-conformal analysis. Zbl 1486.30074
Vodopyanov, S. K.; Tomilov, A. O.
6
2021
Moduli inequalities for \(W^1_{n-1,\mathrm{loc}}\)-mappings with weighted bounded \((q, p)\)-distortion. Zbl 1469.30050
Vodopyanov, S. K.
4
2021
On the equivalence of two approaches to problems of quasiconformal analysis. Zbl 1482.30065
Vodopyanov, S. K.
1
2021
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Zbl 1430.30011
Molchanova, Anastasia; Vodopyanov, Sergey
16
2020
The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms. Zbl 1456.30046
Vodopyanov, S. K.
8
2020
Sobolev \(W^1_p\)-spaces on \(d\)-thick closed subsets of \({\mathbb{R}}^n \). Zbl 1462.46044
Vodopyanov, S. K.; Tyulenev, A. I.
6
2020
Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms. Zbl 1477.30053
Vodopyanov, S. K.
5
2020
On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms. Zbl 1457.30007
Vodop’yanov, S. K.
3
2020
Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds. Zbl 1422.58002
Vodopyanov, S. K.
6
2019
Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings. Zbl 1444.46029
Vodopyanov, S. K.
4
2019
Foundations of quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1418.30015
Vodopyanov, S. K.
3
2019
Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function. Zbl 1412.30094
Vodopyanov, S. K.
12
2018
Basics of the quasiconformal analysis of a two-index scale of spatial mappings. Zbl 1415.30022
Vodopyanov, S. K.
10
2018
On the Whitney problem for weighted Sobolev spaces. Zbl 06731613
Tyulenev, A. I.; Vodop’yanov, S. K.
4
2017
On the convergence of mappings with \(k\)-finite distortion. Zbl 1393.30020
Vodop’yanov, S. K.; Kudryavtseva, N. A.
2
2017
On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds. Zbl 1365.46030
Vodopyanov, S. K.
7
2016
Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion. Zbl 1359.30040
Vodop’yanov, S. K.; Molchanova, A. O.
5
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.
13
2015
Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings. Zbl 1348.46045
Vodop’yanov, S. K.; Evseev, N. A.
7
2015
Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings. Zbl 1348.46044
Vodop’yanov, S. K.; Evseev, N. A.
6
2015
Variational problems of nonlinear elasticity in certain classes of mappings with finite distortion. Zbl 1336.49017
Vodop’yanov, S. K.; Molchanova, A. O.
5
2015
Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings. Zbl 1322.46025
Vodop’yanov, S. K.; Evseev, N. A.
15
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
Obituary: Vladimir Kuz’ mich Ionin. Zbl 1329.01049
Aleksandrov, V. A.; Belonogov, V. A.; Beresmovskiĭ, V. N.; Borisenko, A. A.; Valiev, M. K.; Vesnin, A. Yu.; Vershinin, V. V.; Vodopyanov, S. K.; Volokitin, E. P.; Gol’dshteyn, V. M.; Ludnik, V. G.; Kononenko, L. J.; Kopycov, A. P.; Konylov, Ya. A.; Kysmunych, A. V.; Kusraev, A. G.; Kutatetadse, S. S.; Reshetnyakh, Yu. G.; Rodyonov, E. D.; Romanov, A. S.; Rylov, A. I.; Sabitov, I. Kh.; Slavskiĭ, V. V.; Tarusov, V. B.; Treskov, S. A.
1
2014
Approximate differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1293.53041
Basalaev, S. G.; Vodopyanov, S. K.
36
2013
A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1304.53024
Karmanova, M.; Vodopyanov, S.
19
2013
Sharp geometric rigidity of isometries on Heisenberg groups. Zbl 1279.53030
Isangulova, D. V.; Vodopyanov, S. K.
7
2013
Regularity of mappings inverse to Sobolev mappings. Zbl 1266.26019
Vodop’yanov, S. K.
38
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.
19
2010
Coercive estimates and integral representation formulas on Carnot groups. Zbl 1219.43007
Isangulova, D. V.; Vodopyanov, S. K.
14
2010
Spaces of differential forms and maps with controlled distortion. Zbl 1203.46025
Vodop’yanov, S. K.
9
2010
An area formula for contact \(C^{1}\)-mappings of Carnot manifolds. Zbl 1193.51015
Karmanova, Maria; Vodopyanov, Sergey
7
2010
Geometry of Carnot-Carathéodory spaces differentiability, coarea and area formulas. Zbl 1297.53029
Karmanova, Maria; Vodop’yanov, Sergey
55
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.
6
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.
23
2008
On regularity of mappings inverse to Sobolev mappings. Zbl 1234.30023
Vodop’yanov, S. K.
8
2008
Sub-Riemannian geometry for vector fields of minimal smoothness. Zbl 1184.53035
Vodop’yanov, S. K.; Karmanova, M. B.
8
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
Sobolev classes of mappings on a Carnot-Carathéodory space: various norms and variational problems. Zbl 1224.46071
Vodop’yanov, S. K.; Romanovskij, N. N.
3
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.
62
2007
Foundations of the theory of mappings with bounded distortion on Carnot groups. Zbl 1146.53045
Vodopyanov, S. K.
11
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
The interaction of analysis and geometry. International school-conference on analysis and geometry, Novosibirsk, Russia, August 23–September 3, 2004. Zbl 1109.00005
4
2007
Differentiability of mappings in the geometry of Carnot manifolds. Zbl 1164.53345
Vodop’yanov, S. K.
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 curves in the category of Carnot manifolds. Zbl 1134.53017
Vodop’yanov, S. K.
6
2006
Whitney-type theorems on extension of functions on Carnot groups. Zbl 1150.30334
Vodop’yanov, S. K.; Pupyshev, I. M.
5
2006
Whitney-type theorems on extension of functions on Carnot groups. Zbl 1155.30346
Vodopyanov, S. K.; Pupyshev, I. M.
5
2006
On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups. Zbl 1110.32006
Markina, Irina; Vodopyanov, Sergey
5
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.
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.
9
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.
8
2005
Weighted Sobolev spaces and quasiconformal mappings. Zbl 1127.46023
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.
45
2004
Closure of classes of mappings with bounded distortion on Carnot groups. Zbl 1076.30025
Vodop’yanov, S. K.
8
2004
Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I. Zbl 1050.47030
Vodopyanov, S. K.; Ukhlov, A. D.
11
2003
On the differentiability of mappings of Carnot-Carathéodory spaces. Zbl 1246.30043
Vodop’yanov, S. K.; Greshnov, A. V.
10
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.
48
2002
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. Zbl 1050.47031
Vodopyanov, S. K.; Ukhlov, A. D.
15
2002
Liouville type theorems for mappings with bounded (co)-distortion. Zbl 1019.30022
Troyanov, Marc; Vodop’yanov, Sergei
13
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.
30
2000
Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I. Zbl 0983.30009
Vodop’yanov, S. K.
11
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.
5
1999
Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups. Zbl 0917.46023
Vodop’yanov, S. K.; Ukhlov, A. D.
37
1998
A classification of sub-Riemannian manifolds. Zbl 0937.31013
Vodop’yanov, S. K.; Markina, I. G.
16
1998
Mappings with bounded distortion and with finite distortion on Carnot groups. Zbl 0973.30021
Vodop’yanov, S. K.
11
1998
Topological properties of mappings from the Sobolev classes with summable Jacobian. Zbl 0961.46019
Vodop’yanov, S. K.
1
1998
Quasiconformal mappings and BMO spaces on metric structures. Zbl 0912.43006
Vodop’yanov, S. K.; Greshnov, A. V.
1
1997
Monotone functions and quasiconformal mappings on Carnot groups. Zbl 0876.30020
Vodop’yanov, S. K.
27
1996
Approximately differentiable transformations and change of variables on nilpotent groups. Zbl 0870.43005
Vodop’yanov, S. K.; Ukhlov, A. D.
14
1996
Normal families of mappings on Carnot groups. Zbl 0876.30021
Vodop’yanov, S. K.; Kudryavtseva, N. A.
2
1996
Quasiconformal mappings on Carnot groups and their applications. Zbl 0896.30016
Vodop’yanov, S. K.
1
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.
15
1995
Sobolev spaces and hypoelliptic equations. Zbl 0925.46011
Vodop’yanov, S. K.; Chernikov, V. M.
13
1995
Analytic properties of quasiconformal mappings on Carnot groups. Zbl 0891.30013
Vodop’yanov, S. K.; Greshnov, A. V.
12
1995
Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations. Zbl 0878.46024
Vodop’yanov, S. K.
6
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.
5
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
...and 35 more Documents
all top 5

Cited by 313 Authors

56 Vodop’yanov, Sergeĭ Konstantinovich
43 Ukhlov, Alexander Dadar-Oolovich
30 Gol’dshtein, Vladimir Mikhailovich
17 Koskela, Pekka
14 Sevost’yanov, Yevgen Oleksandrovych
13 Pchelintsev, Valery Anatol’evich
12 Ryazanov, Vladimir Il’ich
11 Evseev, Nikita Aleksandrovich
11 Greshnov, Aleksandr Valer’evich
10 Molchanova, Anastasia Olegovna
9 Isangulova, D. V.
9 Karmanova, Maria B.
8 Basalaev, Sergey G.
8 Salimov, Ruslan Radikovich
8 Tryamkin, Maksim Vladimirovich
7 Markina, Irina
7 Onninen, Jani
7 Tyulenev, Alexander I.
6 Gutlyanskiĭ, Vladimir Ya.
6 Menovschikov, Alexander
6 Selivanova, Svetlana V.
6 Zhou, Yuan
5 Heinonen, Juha
5 Iwaniec, Tadeusz
5 Menovshchikov, A. V.
5 Morbidelli, Daniele
5 Shanmugalingam, Nageswari
5 Zhu, Zheng
4 Arutyunov, Aram Vladimirovic
4 Hencl, Stanislav
4 Martin, Gaven J.
4 Müller, Stefan
4 Romanovskii, N. N.
4 Speight, Gareth
4 Zimmerman, Scott
3 Björn, Anders
3 Dymchenko, Yuriĭ Viktorovich
3 Franchi, Bruno
3 Garain, Prashanta
3 Garofalo, Nicola
3 Gibara, Ryan
3 Henao, Duvan A.
3 Hurri-Syrjānen, Ritva
3 Kovtonyuk, D. A.
3 Monti, Roberto
3 Pinamonti, Andrea
3 Rajala, Kai
3 Rajala, Tapio
3 Romanov, Aleksandr Sergeevich
3 Serra Cassano, Francesco
3 Troyanov, Marc
3 Zobin, Nahum
2 Adamowicz, Tomasz
2 Almi, Stefano
2 Barchiesi, Marco
2 Battaglia, Erika
2 Bilalov, Bilal T.
2 Bogachev, Vladimir Igorevich
2 Brakalova, Melkana Aleksandrova
2 Bramanti, Marco
2 Buckley, Stephen M.
2 Burenkov, Viktor Ivanovich
2 Capogna, Luca
2 Cetin, Seyma
2 Citti, Giovanna
2 Davoli, Elisa
2 Fässler, Katrin S.
2 Jain, Pankaj
2 Kangasniemi, Ilmari
2 Kleprlík, Luděk
2 Klyachin, Vladimir Aleksandrovich
2 Kovtonyuk, Denis
2 Krömer, Stefan
2 Kudryavtseva, N. A.
2 Lomako, Tetiana
2 Manfredini, Maria
2 Martio, Olli
2 Montanari, Annamaria
2 Montefalcone, Francescopaolo
2 Mora-Corral, Carlos
2 Näkki, Raimo
2 Nesmelova, Ol’ga Vladimirovna
2 Ntalampekos, Dimitrios
2 Pakzad, Mohammad Reza
2 Peltonen, Kirsi
2 Roskovec, Tomáš G.
2 Sadigova, Sabina Rahib
2 Saksman, Eero
2 Sboev, D. A.
2 Shen, Yuliang
2 Shvartsman, Pavel
2 Singh, Monika
2 Sivaloganathan, Jeyabal
2 Soto, Tomás
2 Spector, Scott J.
2 Srebro, Uri
2 Stroffolini, Bianca
2 Takanen, Jyrki
2 Tang, ShuAn
2 Tomarelli, Franco
...and 213 more Authors
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Cited in 102 Serials

74 Siberian Mathematical Journal
53 Doklady Mathematics
26 Journal of Mathematical Sciences (New York)
15 Journal d’Analyse Mathématique
14 Archive for Rational Mechanics and Analysis
14 Journal of Mathematical Analysis and Applications
13 Mathematical Notes
12 The Journal of Geometric Analysis
11 Journal of Functional Analysis
9 Calculus of Variations and Partial Differential Equations
7 Advances in Mathematics
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Russian Mathematics
7 St. Petersburg Mathematical Journal
7 Sibirskie Èlektronnye Matematicheskie Izvestiya
6 Mathematische Annalen
6 Mathematische Nachrichten
6 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
6 Complex Variables and Elliptic Equations
5 Mathematische Zeitschrift
4 Transactions of the American Mathematical Society
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Potential Analysis
4 Proceedings of the Steklov Institute of Mathematics
4 Complex Analysis and Operator Theory
4 Analysis and Mathematical Physics
4 Transactions of A. Razmadze Mathematical Institute
3 Proceedings of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Bulletin des Sciences Mathématiques
3 Sbornik: Mathematics
3 Izvestiya: Mathematics
3 Annales Academiae Scientiarum Fennicae. Mathematica
3 Matematicheskie Trudy
3 Analysis and Geometry in Metric Spaces
3 Complex Analysis and its Synergies
3 Annales Fennici Mathematici
2 Israel Journal of Mathematics
2 Arkiv för Matematik
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Soviet Mathematics
2 Results in Mathematics
2 Revista Matemática Iberoamericana
2 Geometric and Functional Analysis. GAFA
2 SIAM Journal on Mathematical Analysis
2 Georgian Mathematical Journal
2 Lobachevskii Journal of Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Computational Methods and Function Theory
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Advances in Calculus of Variations
2 Forum of Mathematics, Sigma
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematische Semesterberichte
1 Moscow University Mathematics Bulletin
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Real Analysis Exchange
1 Tôhoku Mathematical Journal. Second Series
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Optimization
1 Journal of Elasticity
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Mathematical Imaging and Vision
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Turkish Journal of Mathematics
1 Filomat
1 Selecta Mathematica. New Series
1 The Journal of Fourier Analysis and Applications
1 Abstract and Applied Analysis
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Journal of the Australian Mathematical Society
1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika
1 Journal of Numerical Mathematics
1 Fixed Point 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 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Problemy Analiza. Issues of Analysis
1 Nonlinear Analysis. Theory, Methods & Applications
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Cited in 37 Fields

186 Functions of a complex variable (30-XX)
154 Functional analysis (46-XX)
115 Differential geometry (53-XX)
83 Partial differential equations (35-XX)
47 Calculus of variations and optimal control; optimization (49-XX)
35 Real functions (26-XX)
34 Operator theory (47-XX)
29 Global analysis, analysis on manifolds (58-XX)
26 Topological groups, Lie groups (22-XX)
25 Mechanics of deformable solids (74-XX)
23 Potential theory (31-XX)
21 Measure and integration (28-XX)
20 Abstract harmonic analysis (43-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
11 General topology (54-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Geometry (51-XX)
5 Numerical analysis (65-XX)
3 Convex and discrete geometry (52-XX)
3 Manifolds and cell complexes (57-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

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