Science activity

Articles (44) More info

1	Vodopyanov S.K. , Sboev D.A. Boundary Behavior of $\mathcal Q_{q,p}$-homeomorphisms Between Metric Measure Spaces Siberian Advances in Mathematics. 2026. V.36. N1. P.99–115. DOI: 10.1134/S1055134426010104 Scopus OpenAlex
2	Vodopyanov S.K. , Sboev D.A. Change of variables for Sobolev functions on metric measure spaces Russian Mathematical Surveys. 2025. V.80. N5. P.919–921. DOI: 10.4213/rm10265e WOS Scopus OpenAlex
3	Vodopyanov S.K. , Pavlov S.V. Nonlinear Elasticity Problems on Carnot Groups and Quasiconformal Analysis Siberian Mathematical Journal. 2025. V.66. N3. P.672-690. DOI: 10.1134/S0037446625030085 WOS Scopus РИНЦ OpenAlex
4	Vodopyanov S.K. New Properties of Composition Operators in Sobolev Spaces on Riemannian Manifolds Siberian Mathematical Journal. 2025. V.66. N4. P.914-927. DOI: 10.1134/s0037446625040044 WOS Scopus РИНЦ OpenAlex
5	Vodop’yanov S.K. , Pavlov S.V. On Closure of the Class of Homeomorphisms with Integrable Distortion and the Minimization of Functionals Russian Mathematics. 2025. V.69. N6. P.61–66. DOI: 10.3103/S1066369X25700483 WOS Scopus РИНЦ OpenAlex
6	Pavlov S.V. , Vodopyanov S.K. Reshetnyak-classmappings and composition operators Analysis and Mathematical Physics. 2025. V.15. 143 :1-27. DOI: 10.1007/s13324-025-01142-x WOS Scopus OpenAlex
7	Vodopyanov S.K. , Sboev D.A. Semicontinuity under Convergence of Homeomorphisms in L1oc of the Operator Distortion Function Siberian Mathematical Journal. 2024. V.65. N4. P.737-750. DOI: 10.1134/s0037446624040013 WOS Scopus РИНЦ OpenAlex
8	Vodopyanov S.K. The Geometric Function Properties of the Limits of ACL-Mappings with Integrable Distortion Siberian Mathematical Journal. 2024. V.65. N5. P.1026-1042. DOI: 10.1134/s0037446624050057 WOS Scopus РИНЦ OpenAlex
9	Vodopyanov S.K. , Pavlov S.V. Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries Siberian Mathematical Journal. 2024. V.65. N3. P.552–574. DOI: 10.1134/S0037446624030054 WOS Scopus РИНЦ OpenAlex
10	Vodopyanov S.K. , Sboev D.A. Lower Semicontinuity of Distortion Coefficients for Homeomorphisms of Bounded (1, σ)-Weighted (q, p)-Distortion on Carnot Groups Russian Mathematics. 2024. V.68. N3. P.70–75. DOI: 10.3103/S1066369X24700208 WOS Scopus РИНЦ OpenAlex
11	Vodopyanov S.K. Composition operators in Sobolev spaces on riemannian manifolds Siberian Mathematical Journal. 2024. V.65. N6. P.1305–1326. DOI: 10.1134/S0037446624060065 WOS Scopus РИНЦ OpenAlex
12	Vodopyanov S.K. , Pavlov S.V. Functional properties of limits of Sobolev homeomorphisms with integrable distortion Journal of Mathematical Sciences (United States). 2024. V.286. N3, December. P.322-342. DOI: 10.1007/s10958-024-07508-z Scopus РИНЦ OpenAlex
13	Pavlov S.V. , Vodop’yanov S.K. Weak continuity of jacobians of Wν1-homeomorphisms on carnot groups Eurasian Mathematical Journal. 2024. V.15. N4. P.82 – 95. DOI: 10.32523/2077-9879-2024-15-4-82-95 WOS Scopus РИНЦ OpenAlex
14	Basalaev S.G. , Vodopyanov S.K. Holder continuity of the traces of Sobolev functions to hypersurfaces in Carnot groups and the P-differentiability of Sobolev mappings Siberian Mathematical Journal. 2023. V.64. N4. P.819-835. DOI: 10.1134/S0037446623040043 WOS Scopus РИНЦ OpenAlex
15	Vodopyanov S.K. , Molchanova A.O. The boundary behavior of Q_(p,q)-homeomorphisms Известия Российской академии наук. Серия математическая. 2023. V.87. N4. P.47–90. DOI: 10.4213/im9376 РИНЦ OpenAlex
16	Vodopyanov S.K. Continuity of the mappings with finite distortion of the Sobolev class W1 ν,loc on carnot groups Siberian Mathematical Journal. 2023. V.64. N5. P.1091–1109. DOI: 10.1134/S0037446623050038 WOS Scopus РИНЦ OpenAlex
17	Basalaev S.G. , Vodopyanov S.K. Openness and discreteness of mappings of finite distortion on Carnot groups Siberian Mathematical Journal. 2023. V.64. N6. P.1289-1296. DOI: 10.1134/S0037446623060046 WOS Scopus РИНЦ OpenAlex
18	Vodopyanov S.K. , Molchanova A.O. The boundary behavior of Qp,q-homeomorphisms Izvestiya Mathematics. 2023. V.87. N4. P.683-725. DOI: 10.4213/im9376e WOS Scopus РИНЦ OpenAlex
19	Vodopyanov S.K. On the Gehring Type Condition and Properties of Mappings Владикавказский математический журнал (Vladikavkaz Mathematical Journal). 2023. V.25. N3. P.51-58. DOI: 10.46698/z8419-0555-2432-n Scopus РИНЦ OpenAlex
20	Vodopyanov S.K. , Evseev N.A. Functional and Analytical Properties of a Class of Mappings of Quasiconformal Analysis on Carnot Groups Siberian Mathematical Journal. 2022. V.63. N2. P.233-261. DOI: 10.1134/S0037446622020045 WOS Scopus РИНЦ OpenAlex
21	Vodopyanov S.K. TWO‑WEIGHTED COMPOSITION OPERATORS ON SOBOLEV SPACES AND QUASICONFORMAL ANALYSIS Journal of Mathematical Sciences (United States). 2022. P.1-19. DOI: 10.1007/s10958-022-05903-y Scopus РИНЦ OpenAlex
22	Vodopyanov S.K. On Poletskiy-type modulus inequalities for some classes of mappings Владикавказский математический журнал (Vladikavkaz Mathematical Journal). 2022. V.24. N4. P.57-68. DOI: 10.46698/w5793-5981-8894-o Scopus РИНЦ OpenAlex
23	Vodopyanov S.K. Coincidence of set functions in quasiconformal analysis Sbornik Mathematics. 2022. V.213. N9. P.1157–1186. DOI: 10.4213/sm9702e WOS Scopus РИНЦ OpenAlex
24	Vodopyanov S.K. On the Equivalence of Two Approaches to Problems of Quasiconformal Analysis Siberian Mathematical Journal. 2021. V.62. N6. P.1010-1025. DOI: 10.1134/S0037446621060045 WOS Scopus OpenAlex
25	Vodopʹyanov S.K. A POINT-WISE CONDITION FOR THE ABSOLUTE CONTINUITY OF A FUNCTION OF ONE VARIABLE AND ITS APPLICATIONS Владикавказский математический журнал (Vladikavkaz Mathematical Journal). 2021. V.4. N23. P.41-49. DOI: 10.46698/m7572-3270-2461-v Scopus OpenAlex
26	Vodopyanov S.K. , Tomilov A.O. Functional and analytic properties of a class of mappings in quasi-conformal analysis Izvestiya Mathematics. 2021. V.85. N5. P.883-931. DOI: 10.1070/IM9082 WOS Scopus OpenAlex
27	Jain P. , Molchanova A. , Singh M. , Vodopyanov S. On grand Sobolev spaces and pointwise description of Banach function spaces Nonlinear Analysis, Theory, Methods and Applications. 2021. V.202. 112100 :1-17. DOI: 10.1016/j.na.2020.112100 WOS Scopus OpenAlex
28	Vodopyanov S.K. Moduli inequalities for W^1_{n-1,loc}-mappings with weighted bounded (q, p)-distortion Complex Variables and Elliptic Equations. 2021. V.66. N6-7. P.1037–1072. DOI: 10.1080/17476933.2020.1825396 WOS Scopus OpenAlex
29	Vodopʹyanov S.K. THE REGULARITY OF INVERSES TO SOBOLEV MAPPINGS AND THE THEORY OF Qq,p-HOMEOMORPHISMS Siberian Mathematical Journal. 2020. V.61. N6. P.1002-1038. DOI: 10.1134/S0037446620060051 WOS Scopus OpenAlex
30	Vodop’yanov S.K. On the Analytic and Geometric Properties of Mappings in the Theory of Qq,p-Homeomorphisms Mathematical Notes. 2020. V.108. N6. P.889-894. DOI: 10.1134/S0001434620110310 WOS Scopus OpenAlex
31	Vodopyanov S.K. , Tyulenev A.I. Sobolev W1p -spaces on d-thick closed subsets of Rn Sbornik Mathematics. 2020. V.211. N6. P.786--837. DOI: 10.1070/SM9199 WOS Scopus OpenAlex
32	Vodopyanov S.K. , Molchanova A. Injectivity almost everywhere andmappings with finite distortion in nonlinear elasticity Calculus of Variations and Partial Differential Equations. 2020. V.59. 17 :1-25. DOI: 10.1007/s00526-019-1671-4 WOS Scopus OpenAlex
33	Vodopyanov S.K. Composition Operators on Weighted Sobolev Spaces and the Theory of Q_p-Homeomorphisms Doklady Mathematics. 2020. V.102. N2. P.371-375. DOI: 10.1134/S1064562420050440 WOS Scopus OpenAlex
34	Vodopʹyanov S.K. Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings Siberian Mathematical Journal. 2019. V.60. N5. P.774-804. DOI: 10.1134/S0037446619050033 WOS Scopus OpenAlex
35	Vodopyanov S.K. Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings Doklady Mathematics. 2019. V.99. N1. P.23-27. DOI: 10.1134/S1064562419010095 WOS Scopus OpenAlex
36	Vodopyanov S.K. Admissible changes of variables for Sobolev functions on (sub-) Riemannian manifolds Sbornik Mathematics. 2019. V.210. N1. P.59--104. DOI: 10.1070/SM8899 WOS Scopus OpenAlex
37	Vodopyanov S.K. DIFFERENTIABILITY OF MAPPINGS OF THE SOBOLEV SPACE $W^1_{n−1}$ WITH CONDITIONS ON THE DISTORTION FUNCTION Siberian Mathematical Journal. 2018. V.59. N6. P.983–1005. DOI: 10.1134/S0037446618060034 WOS Scopus OpenAlex
38	Vodopyanov S.K. BASICS OF THE QUASICONFORMAL ANALYSIS OF A TWO-INDEX SCALE OF SPATIAL MAPPINGS Siberian Mathematical Journal. 2018. V.59. N5. P.805–834,. DOI: 10.1134/S0037446618050075 WOS Scopus OpenAlex
39	Vodopyanov S.K. , Kudryavtseva N.A. On the convergence of mappings with k-finite distortion Проблемы анализа. 2018. V.7(25). NСпецвыпуск. P.88-100. DOI: 10.15393/j3.art.2018.5511 WOS Scopus OpenAlex
40	Vodopyanov S.K. , Kudryavtceva N.A. On the Convergence of Mappings with k-Finite Distortion Mathematical Notes. 2017. V.102. N6. P.943-948. DOI: 10.1134/S0001434617110281 WOS Scopus OpenAlex
41	Vodop’yanov S.K. , Tyulenev A.I. On the Whitney Problem for Weighted Sobolev Spaces Doklady Mathematics. 2017. V.95. N2. P.1-5. DOI: 10.1134/S1064562417010276 WOS Scopus OpenAlex
42	Karmanova M. , Vodopyanov S. A Coarea Formula for Smooth Contact Mappings of Carnot–Carathéodory Spaces Acta Applicandae Mathematicae. 2013. V.128. N1. P.67-111. DOI: 10.1007/s10440-013-9822-7 WOS Scopus РИНЦ OpenAlex
43	Isangulova D.V. , Vodopyanov S.K. Sharp geometric rigidity of isometries on Heisenberg groups Mathematische Annalen. 2012. V.355. P.1301–1329. DOI: 10.1007/s00208-012-0820-2 WOS Scopus OpenAlex
44	Vodop’yanov S.K. , Romanovskiĭ N.N. Sobolev classes of mappings on a Carnot-Carathéodory space: Various norms and variational problems Siberian Mathematical Journal. 2008. V.49. N5. P.814-828. DOI: 10.1007/s11202-008-0080-2 WOS Scopus OpenAlex

Conference theses (6) More info

1	Vodopyanov S.K. On coincidence of set functions in quasiconformal analysis In compilation Международная конференция по геометрическому анализу, посвящённая памяти академика Ю.Г. Решетняка, 23–29 октября 2022 г. Тезисы докладов. – ИПЦ НГУ., 2022. – C.31-32. – ISBN 9785443713779.
2	Vodopyanov S.K. Mappings with bounded distortion on Сarnot groups In compilation Труды Математического центра им. Н.И.Лобачевского. – KAZAN FEDERAL UNIVERSITY., 2022. – Т.63. – C.66.
3	Vodopyanov S.K. Сurrent results and problems in quasiconformal analysis In compilation COMPLEX ANALYSIS AND ITS APPLICATIONS КОМПЛЕКСНЫЙ АНАЛИЗ И ЕГО ПРИЛОЖЕНИЯ. – Кубанский гос. ун-т., 2021. – C.34.
4	Vodopyanov S.K. Sobolev spaces and quasiconformal mappings in (sub)-Riemannian geometry In compilation Труды математического центра имени Н.И. Лобачевского. – Академия наук РТ, Казанское математическое общество., 2017. – Т.54. – C.18-21.
5	Vodopʹyanov S.K. Quasiconformal Analysis of two-index Scale of Mappings with Applications In compilation Математика в современном мире. Международная конференция, посвященная 60-летию Института математики им. С.Л. Соболева (Новосибирск, 14-19 августа 2017 г.): Тез. докладов / под ред. Г.В. Демиденко. - Новосибирск: Изд-во Института математики, 2017. 592 с.. – Институт математики им. С.Л. Соболева., 2017. – C.153.
6	Vodopʹyanov S.K. Quasiconformal Analysis of two-index Scale of Mappings with Applications In compilation Математика в современном мире. Международная конференция, посвященная 60-летию Института математики им. С.Л. Соболева (Новосибирск, 14-19 августа 2017 г.): Тез. докладов / под ред. Г.В. Демиденко. - Новосибирск: Изд-во Института математики, 2017. 592 с.. – Институт математики им. С.Л. Соболева., 2017. – C.153.

Conference attendances (10) More info

1	Vodopyanov S.K. FUNCTION SPACES and GEOMETRY of MAPPINGS Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov 29 May - 6 Jun 2023
2	Vodopyanov S.K. Quasi-conformal analysis and problems of nonlinear elasticity theory International Conference <<Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis-2021 30 Jun - 9 Jul 2021
3	Vodopʹyanov S.K. Сurrent results and problems in quasiconformal analysis International Conference Complex Analysis and its Applications 30 May - 5 Jun 2021
4	Vodopyanov S.K. PROPERTIES of MAPPINGS with BOUNDED $(q,p)$-DISTORTION and its APPLICATIONS International XIV School-Conference "Function Theory, its application and Related Topics" 07-12 Sep 2019
5	Vodopyanov S.K. NON-LINEAR ELASTICITY THEORY and QUASICONFORMAL ANALYSIS Международная конференция "Математическая физика, динамические системы, бесконечномерный анализ" 17-21 Jun 2019
6	Vodopʹyanov S.K. Sobolev spaces and quasiconformal mappings in (sub)-Riemannian geometry Международная конференция "Современная геометрия и ее приложения" 27 Nov - 3 Dec 2017
7	Vodopyanov S.K. QUASICONFORMAL ANALYSIS AND NON-LINEAR THEORY OF ELASTICITY XIII Международная Казанская летняя научная школа-конференция "Теория функций, ее приложения и смежные вопросы" 21-27 Aug 2017
8	Vodopyanov S. Sobolev spaces and quasiconformal mappings in (sub)Riemannian geometry МЕЖДУНАРОДНАЯ Школа-Конференцию «Соболевские чтения» 20-23 Aug 2017
9	VODOPYANOV S. Quasiconformal Analysis of two-index Scale of Mappings with Applications Международная конференция, посвященная 60-летию Института математики им. С.,Л.Соболева 14-19 Aug 2017
10	Vodopyanov S. SOBOLEV SPACES AND QUASICONFORMAL MAPPINGS in (sub)-RIEMANNIAN GEOMETRY CIME--CIRM Course on New Trends on Analysis and Geometry in Metric Spaces 26-30 Jun 2017

Identifiers

Degrees

1993 - Dr.Sc.

Academic titles

1995 - Professor