Persons: Vodop'yanov Sergei Konstantinovich

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Vodop'yanov Sergei Konstantinovich

Statistics Math-Net.Ru
Total publications:	31
Scientific articles:	29
Citations to the author:	208
Cited articles:	24
Citing authors:	22

Number of views:
This page:	725
Abstract pages:	2074
Full texts:	557
References:	31

Scientific status:

Professor

Scientific degree:

Doctor of physico-mathematical sciences (1993)

Birth date:

9.12.1946

Phone:

+7 (383) 333 25 97

E-mail:

Keywords:

Lebesgue spaces of differential forms, distortion of mappings, quasiconformal mapping, cogomology of Riemannian manifolds.

UDC:

512.813.52, 514.763.22, 514.752.8, 515.164, 515.164.13, 517.5, 517.518.1, 517.518.12, 517.518.15, 517.518.17, 517.518.23, 517.54, 517.548, 517.548.2, 517.57, 517.813.52, 517.952.25, 517.954, 517.956.224, 517.956.25, 517.97, 517.988

List of publications on Google Scholar

List of publications on ZentralBlatt

Personal webpage on MathSciNet

Publications in Math-Net.Ru

1.	Spaces of differential forms and maps with controlled distortion S. K. Vodop'yanov Izv. RAN. Ser. Mat., 2010, 74:4, 5–32
2.	Nonlinear potential theory for Sobolev spaces on Carnot groups S. K. Vodop'yanov, N. A. Kudryavtseva Sibirsk. Mat. Zh., 2009, 50:5, 1016–1036
3.	Sobolev classes of mappings on a Carnot–Carathéodory space: Various norms and variational problems S. K. Vodop'yanov, N. N. Romanovskii Sibirsk. Mat. Zh., 2008, 49:5, 1028–1045
4.	The Traces of Bessel Potentials on Regular Subsets of Carnot Groups S. K. Vodop'yanov, I. M. Pupyshev Mat. Tr., 2007, 10:2, 19–61
5.	Traces of Sobolev functions on the Ahlfors sets of Carnot groups S. K. Vodop'yanov, I. M. Pupyshev Sibirsk. Mat. Zh., 2007, 48:6, 1201–1221
6.	Differentiability of mappings in the geometry of Carnot manifolds S. K. Vodop'yanov Sibirsk. Mat. Zh., 2007, 48:2, 251–271
7.	Differentiability of the mappings of Carnot–Caratheodory spaces in the Sobolev and $BV$-topologies S. K. Vodop'yanov, D. V. Isangulova Sibirsk. Mat. Zh., 2007, 48:1, 46–67
8.	Boundary Values of Differentiable Functions Defined on an Arbitrary Domain of a Carnot Group S. K. Vodop'yanov, I. M. Pupyshev Mat. Tr., 2006, 9:2, 23–46
9.	Whitney-type theorems on extension of functions on Carnot groups S. K. Vodop'yanov, I. M. Pupyshev Sibirsk. Mat. Zh., 2006, 47:4, 731–752
10.	Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. II S. K. Vodop'yanov, A. D. Ukhlov Mat. Tr., 2004, 7:1, 13–49
11.	Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. I S. K. Vodop'yanov, A. D. Ukhlov Mat. Tr., 2003, 6:2, 14–65
12.	Differentiability of maps of Carnot groups of Sobolev classes S. K. Vodop'yanov Mat. Sb., 2003, 194:6, 67–86
13.	Superposition operators in Sobolev spaces S. K. Vodop'yanov, A. D. Ukhlov Izv. Vyssh. Uchebn. Zaved. Mat., 2002:10, 11–33
14.	Closure of Classes of Mappings with Bounded Distortion on Carnot Groups S. K. Vodop'yanov Mat. Tr., 2002, 5:2, 92–137
15.	Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I S. K. Vodop'yanov Sibirsk. Mat. Zh., 2000, 41:1, 23–48
16.	Mappings with bounded distortion and with finite distortion on Carnot groups S. K. Vodop'yanov Sibirsk. Mat. Zh., 1999, 40:4, 764–804
17.	Classification of sub-Riemannian manifolds S. K. Vodop'yanov, I. G. Markina Sibirsk. Mat. Zh., 1998, 39:6, 1271–1289
18.	Sobolev spaces and $(P,Q)$-quasiconformal mappings of Carnot groups S. K. Vodop'yanov, A. D. Ukhlov Sibirsk. Mat. Zh., 1998, 39:4, 776–795
19.	Monotone functions and quasiconformal mappings on Carnot groups S. K. Vodop'yanov Sibirsk. Mat. Zh., 1996, 37:6, 1269–1295
20.	Normal families of mappings on Carnot groups S. K. Vodop'yanov, N. A. Kudryavtseva Sibirsk. Mat. Zh., 1996, 37:2, 273–286
21.	Approximately differentiable transformations and change of variables on nilpotent groups S. K. Vodop'yanov, A. D. Ukhlov Sibirsk. Mat. Zh., 1996, 37:1, 70–89
22.	Analytic properties of quasiconformal mappings on Carnot groups S. K. Vodop'yanov, A. V. Greshnov Sibirsk. Mat. Zh., 1995, 36:6, 1317–1327
23.	On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric S. K. Vodop'yanov, A. V. Greshnov Sibirsk. Mat. Zh., 1995, 36:5, 1015–1048
24.	Exceptional sets for solutions to subelliptic equations S. K. Vodop'yanov, I. G. Markina Sibirsk. Mat. Zh., 1995, 36:4, 805–818
25.	Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations S. K. Vodop'yanov Sibirsk. Mat. Zh., 1995, 36:2, 278–300
26.	Thin sets in weighted potential theory and degenerate elliptic equations S. K. Vodop'yanov Sibirsk. Mat. Zh., 1995, 36:1, 28–36
27.	The $L_p$ potential theory for generalized kernels S. K. Vodop'yanov Mat. Zametki, 1990, 47:5, 146–148
28.	Potential theory on homogeneous groups S. K. Vodop'yanov Mat. Sb., 1989, 180:1, 57–77
29.	On geometric properties of functions with generalized first derivatives S. K. Vodop'yanov, V. M. Gol'dstein, Yu. G. Reshetnyak Uspekhi Mat. Nauk, 1979, 34:1(205), 17–65

30.	Yurii Grigor'evich Reshetnyak (on his 80th birthday) A. Yu. Vesnin, S. K. Vodop'yanov, S. S. Kutateladze, S. P. Novikov, I. A. Taimanov Uspekhi Mat. Nauk, 2009, 64:5(389), 185–188
31.	Yurii Grigor'evich Reshetnyak (on the occasion of his 80th birthday) A. Yu. Vesnin, S. K. Vodop'yanov, S. S. Kutateladze, I. A. Taimanov Sibirsk. Mat. Zh., 2009, 50:5, 959–962

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