Vodopyanov Sergei Konstantinovich

Publications in Math-Net.Ru

1. Functional properties of limits of Sobolev homeomorphisms with integrable distortion
   
   CMFD, 70:2 (2024),  215–236
2. Lower semicontinuity of distortion coefficients for homeomorphisms of bounded $(1, \sigma)$-weighted $(q,p)$-distortion on Carnot groups
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3,  84–90
3. Composition operators in Sobolev spaces on Riemannian manifolds
   
   Sibirsk. Mat. Zh., 65:6 (2024),  1128–1152
4. The geometric function properties of the limits of ACL-mappings with integrable distortion
   
   Sibirsk. Mat. Zh., 65:5 (2024),  820–840
5. Semicontinuity under convergence of homeomorphisms in $L_{1, \mathrm{loc}}$ of the operator distortion function
   
   Sibirsk. Mat. Zh., 65:4 (2024),  605–621
6. Boundary values in the geometric function theory in domains with moving boundaries
   
   Sibirsk. Mat. Zh., 65:3 (2024),  489–516
7. The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms
   
   Izv. RAN. Ser. Mat., 87:4 (2023),  47–90
8. Openness and discreteness of mappings of finite distortion on Carnot groups
   
   Sibirsk. Mat. Zh., 64:6 (2023),  1151–1159
9. Continuity of the mappings with finite distortion of the Sobolev class $W^1_{\nu,\operatorname{loc}}$ on Carnot groups
   
   Sibirsk. Mat. Zh., 64:5 (2023),  912–934
10. Hölder continuity of the traces of Sobolev functions to hypersurfaces in Carnot groups and the $\mathcal{P}$-differentiability of Sobolev mappings
    
    Sibirsk. Mat. Zh., 64:4 (2023),  700–719
11. On the Gehring type condition and properties of mappings
    
    Vladikavkaz. Mat. Zh., 25:3 (2023),  51–58
12. Coincidence of set functions in quasiconformal analysis
    
    Mat. Sb., 213:9 (2022),  3–33
13. Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups
    
    Sibirsk. Mat. Zh., 63:2 (2022),  283–315
14. On Poletsky-type modulus inequalities for some classes of mappings
    
    Vladikavkaz. Mat. Zh., 24:4 (2022),  58–69
15. Functional and analytic properties of a class of mappings in quasi-conformal analysis
    
    Izv. RAN. Ser. Mat., 85:5 (2021),  58–109
16. On the equivalence of two approaches to problems of quasiconformal analysis
    
    Sibirsk. Mat. Zh., 62:6 (2021),  1252–1270
17. A pointwise condition for the absolute continuity of a function of one variable and its applications
    
    Vladikavkaz. Mat. Zh., 23:4 (2021),  41–49
18. Composition operators on weighted Sobolev spaces and the theory of $\mathscr{Q}_p$-homeomorphisms
    
    Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020),  21–25
19. On the Analytic and Geometric Properties of Mappings in the Theory of $\mathscr Q_{q,p}$-Homeomorphisms
    
    Mat. Zametki, 108:6 (2020),  925–929
20. Sobolev $W^1_p$-spaces on $d$-thick closed subsets of $\mathbb R^n$
    
    Mat. Sb., 211:6 (2020),  40–94
21. The regularity of inverses to Sobolev mappings and the theory of $\mathscr Q_{q,p}$-homeomorphisms
    
    Sibirsk. Mat. Zh., 61:6 (2020),  1257–1299
22. Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds
    
    Mat. Sb., 210:1 (2019),  63–112
23. Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings
    
    Sibirsk. Mat. Zh., 60:5 (2019),  996–1034
24. On the convergence of mappings with $k$-finite distortion
    
    Probl. Anal. Issues Anal., 7(25):special issue (2018),  88–100
25. Differentiability of mappings of the Sobolev space $W^1_{n-1}$ with conditions on the distortion function
    
    Sibirsk. Mat. Zh., 59:6 (2018),  1240–1267
26. Basics of the quasiconformal analysis of a two-index scale of spatial mappings
    
    Sibirsk. Mat. Zh., 59:5 (2018),  1020–1056
27. On the Whitney Problem for Weighted Sobolev Spaces
    
    Dokl. Akad. Nauk, 472:6 (2017),  634–638
28. On the Convergence of Mappings with $k$-Finite Distortion
    
    Mat. Zametki, 102:6 (2017),  943–948
29. Lower semicontinuity of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion
    
    Sibirsk. Mat. Zh., 57:5 (2016),  999–1011
30. Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings
    
    Sibirsk. Mat. Zh., 56:5 (2015),  989–1029
31. Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded $(p,q)$-distortion
    
    Sibirsk. Mat. Zh., 56:2 (2015),  290–321
32. Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings
    
    Sibirsk. Mat. Zh., 55:5 (2014),  1001–1039
33. Approximate differentiability of mappings of Carnot–Carathéodory spaces
    
    Eurasian Math. J., 4:2 (2013),  10–48
34. Regularity of mappings inverse to Sobolev mappings
    
    Mat. Sb., 203:10 (2012),  3–32
35. Coercive estimates and integral representation formulas on Carnot groups
    
    Eurasian Math. J., 1:3 (2010),  58–96
36. Spaces of differential forms and maps with controlled distortion
    
    Izv. RAN. Ser. Mat., 74:4 (2010),  5–32
37. Spaces of differential forms and mappings with controlled distortion
    
    Dokl. Akad. Nauk, 424:6 (2009),  727–731
38. Nonlinear potential theory for Sobolev spaces on Carnot groups
    
    Sibirsk. Mat. Zh., 50:5 (2009),  1016–1036
39. Sobolev classes of mappings on a Carnot–Carathéodory space: Various norms and variational problems
    
    Sibirsk. Mat. Zh., 49:5 (2008),  1028–1045
40. The Traces of Bessel Potentials on Regular Subsets of Carnot Groups
    
    Mat. Tr., 10:2 (2007),  19–61
41. Traces of Sobolev functions on the Ahlfors sets of Carnot groups
    
    Sibirsk. Mat. Zh., 48:6 (2007),  1201–1221
42. Differentiability of mappings in the geometry of Carnot manifolds
    
    Sibirsk. Mat. Zh., 48:2 (2007),  251–271
43. Differentiability of the mappings of Carnot–Caratheodory spaces in the Sobolev and $BV$-topologies
    
    Sibirsk. Mat. Zh., 48:1 (2007),  46–67
44. Boundary Values of Differentiable Functions Defined on an Arbitrary Domain of a Carnot Group
    
    Mat. Tr., 9:2 (2006),  23–46
45. Whitney-type theorems on extension of functions on Carnot groups
    
    Sibirsk. Mat. Zh., 47:4 (2006),  731–752
46. Foundations of the theory of mappings with bounded distortion on Carnot groups
    
    Dokl. Akad. Nauk, 405:1 (2005),  7–12
47. Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. II
    
    Mat. Tr., 7:1 (2004),  13–49
48. Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. I
    
    Mat. Tr., 6:2 (2003),  14–65
49. Differentiability of maps of Carnot groups of Sobolev classes
    
    Mat. Sb., 194:6 (2003),  67–86
50. The geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory
    
    Vladikavkaz. Mat. Zh., 5:1 (2003),  14–34
51. Superposition operators in Sobolev spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 10,  11–33
52. Closure of Classes of Mappings with Bounded Distortion on Carnot Groups
    
    Mat. Tr., 5:2 (2002),  92–137
53. Superposition operators in Lebesgue spaces and the differentiability of quasi-additive set functions
    
    Vladikavkaz. Mat. Zh., 4:1 (2002),  11–33
54. Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I
    
    Sibirsk. Mat. Zh., 41:1 (2000),  23–48
55. Mappings with bounded distortion and with finite distortion on Carnot groups
    
    Sibirsk. Mat. Zh., 40:4 (1999),  764–804
56. Classification of sub-Riemannian manifolds
    
    Sibirsk. Mat. Zh., 39:6 (1998),  1271–1289
57. Sobolev spaces and $(P,Q)$-quasiconformal mappings of Carnot groups
    
    Sibirsk. Mat. Zh., 39:4 (1998),  776–795
58. Continuation of differentiable functions, and quasiconformal mappings on Carnot groups
    
    Dokl. Akad. Nauk, 348:1 (1996),  15–18
59. Quasiconformal mappings on Carnot groups and their applications
    
    Dokl. Akad. Nauk, 347:4 (1996),  439–442
60. Fundamentals of the nonlinear potential theory for subelliptic equations
    
    Trudy Inst. Mat. SO RAN, 31 (1996),  100–160
61. Monotone functions and quasiconformal mappings on Carnot groups
    
    Sibirsk. Mat. Zh., 37:6 (1996),  1269–1295
62. Normal families of mappings on Carnot groups
    
    Sibirsk. Mat. Zh., 37:2 (1996),  273–286
63. Approximately differentiable transformations and change of variables on nilpotent groups
    
    Sibirsk. Mat. Zh., 37:1 (1996),  70–89
64. Weakly contact transformations and change of variables on nilpotent groups
    
    Dokl. Akad. Nauk, 341:4 (1995),  439–441
65. Sobolev spaces and hypoelliptic equations
    
    Trudy Inst. Mat. SO RAN, 29 (1995),  7–62
66. Analytic properties of quasiconformal mappings on Carnot groups
    
    Sibirsk. Mat. Zh., 36:6 (1995),  1317–1327
67. On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric
    
    Sibirsk. Mat. Zh., 36:5 (1995),  1015–1048
68. Exceptional sets for solutions to subelliptic equations
    
    Sibirsk. Mat. Zh., 36:4 (1995),  805–818
69. Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations
    
    Sibirsk. Mat. Zh., 36:2 (1995),  278–300
70. Thin sets in weighted potential theory and degenerate elliptic equations
    
    Sibirsk. Mat. Zh., 36:1 (1995),  28–36
71. Removable singularities of bounded solutions of quasi-elliptic equations
    
    Sibirsk. Mat. Zh., 33:4 (1992),  3–14
72. Weighted $L_p$ potential theory on homogeneous groups
    
    Sibirsk. Mat. Zh., 33:2 (1992),  29–48
73. Intrinsic metrics and boundary values of functions of Zygmund classes
    
    Sibirsk. Mat. Zh., 32:2 (1991),  3–12
74. Weighted $L_p$ potential theory on homogeneous groups
    
    Dokl. Akad. Nauk SSSR, 314:1 (1990),  37–41
75. The $L_p$ potential theory for generalized kernels
    
    Mat. Zametki, 47:5 (1990),  146–148
76. $L_p$-theory of potential and quasiconformal mappings on homogeneous groups
    
    Trudy Inst. Mat. Sib. Otd. AN SSSR, 14 (1989),  45–89
77. Potential theory on homogeneous groups
    
    Mat. Sb., 180:1 (1989),  57–77
78. Mappings of homogeneous groups and imbeddings of functional spaces
    
    Sibirsk. Mat. Zh., 30:5 (1989),  25–41
79. Intrinsic geometries and boundary values of differentiable functions. I
    
    Sibirsk. Mat. Zh., 30:2 (1989),  29–42
80. Potential theory on homogeneous groups
    
    Dokl. Akad. Nauk SSSR, 303:1 (1988),  11–15
81. Equivalent normings of spaces of differentiable functions in domains and their applications
    
    Dokl. Akad. Nauk SSSR, 300:4 (1988),  777–781
82. Quasielliptic $L_p$-theory of potential and its applications
    
    Dokl. Akad. Nauk SSSR, 298:4 (1988),  780–784
83. The maximum principle in potential theory and embedding theorems for anisotropic spaces of differentiable functions
    
    Sibirsk. Mat. Zh., 29:2 (1988),  17–33
84. Geometric properties of domains and estimates for the norm of an extension operator
    
    Dokl. Akad. Nauk SSSR, 292:4 (1987),  791–795
85. Isoperimetric relations and conditions for the extension of differentiable functions
    
    Dokl. Akad. Nauk SSSR, 292:1 (1987),  11–15
86. Geometric properties of domains and mappings. Lower bounds on the norm of the extension operator
    
    Trudy Inst. Mat. Sib. Otd. AN SSSR, 7 (1987),  70–101
87. On geometric properties of functions with generalized first derivatives
    
    Uspekhi Mat. Nauk, 34:1(205) (1979),  17–65
88. A criterion for the extension of functions of the class $L_2^1$ from unbounded plane domains
    
    Sibirsk. Mat. Zh., 20:2 (1979),  416–419
89. Metric completion of a domain by using a conformal capacity invariant under quasi-conformal mappings
    
    Dokl. Akad. Nauk SSSR, 238:5 (1978),  1040–1042
90. A test of the removability of sets for $L_p^1$ spaces of quasiconformal and quasi-isomorphic mappings
    
    Sibirsk. Mat. Zh., 18:1 (1977),  48–68
91. Functional characterizations of quasi-isometric mappings
    
    Sibirsk. Mat. Zh., 17:4 (1976),  768–773
92. Quasiconformal mappings, and spaces of functions with first generalized derivatives
    
    Sibirsk. Mat. Zh., 17:3 (1976),  515–531
93. A criterion for the possibility of eliminating sets for the spaces $W_p^1$ of quasiconformal and quasi-isometric mappings
    
    Dokl. Akad. Nauk SSSR, 220:4 (1975),  769–771
94. The boundary correspondence for quasiconformal mappings of $n$-dimensional domains
    
    Sibirsk. Mat. Zh., 16:3 (1975),  630–633
95. Lattice isomorphisms of the spaces $W_n^1$ and quasiconformal mappings
    
    Sibirsk. Mat. Zh., 16:2 (1975),  224–246
96. Lattice isomorphisms of the spaces $W_n^1$, and quasiconformal mappings
    
    Dokl. Akad. Nauk SSSR, 215:1 (1974),  24–26
97. Estimates of the deviation of quasi-umbilical surfaces from a sphere
    
    Sibirsk. Mat. Zh., 11:5 (1970),  971–987


98. Stefan Grigorievich Samko (on the occasion of his 80th birthday)
    
    Vladikavkaz. Mat. Zh., 23:3 (2021),  126–129
99. To the 65-th anniversary of prof. A. G. Kusraev
    
    Vladikavkaz. Mat. Zh., 20:2 (2018),  111–119
100. Vladimir Mikhailovich Miklyukov (obituary)
     
     Uspekhi Mat. Nauk, 69:3(417) (2014),  173–176
101. Mikhail Abramovich Taitslin (1936–2013)
     
     Sib. Èlektron. Mat. Izv., 10 (2013),  54–65
102. Anatoly Georgievich Kusraev is 60
     
     Sib. Èlektron. Mat. Izv., 10 (2013),  13–29
103. Anatolii Georgievich Kusraev (on the occasion of his 60th anniversary)
     
     Vladikavkaz. Mat. Zh., 15:1 (2013),  90–97
104. Yurii Grigor'evich Reshetnyak (on his 80th birthday)
     
     Uspekhi Mat. Nauk, 64:5(389) (2009),  185–188
105. Yurii Grigor'evich Reshetnyak (on the occasion of his 80th birthday)
     
     Sibirsk. Mat. Zh., 50:5 (2009),  959–962
106. Yuri Fedorovich Borisov (1925–2007)
     
     Sib. Èlektron. Mat. Izv., 4 (2007),  28–30