01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
15.04.1940
E-mail:
Keywords:
quasiconformal mappings; quasi-isometric mappings; mappings with bounded distortion; stability of classes of mappings; complex analysis; Fourier analysis; potential theory; systems of partial differential equations.
Main publications:
Kopylov A. P. Ustoichivost v $C^l$-norme klassov reshenii sistem lineinykh uravnenii s chastnymi proizvodnymi ellipticheskogo tipa // Sib. matem. zhurn., 1999, 40(2), 352–371.
Kopylov A. P. O regulyarnosti reshenii sistem uravnenii s chastnymi proizvodnymi, lokalno blizkikh k ellipticheskim sistemam lineinykh uravnenii s postoyannymi koeffitsientami. I // Sib. matem. zhurn., 1999, 40(4), 861–879.
Kopylov A. P. O regulyarnosti reshenii sistem uravnenii s chastnymi proizvodnymi, lokalno blizkikh k ellipticheskim sistemam lineinykh uravnenii s postoyannymi koeffitsientami. II // Sib. matem. zhurn., 2000, 41(1), 98–117.
Kopylov A. P. Ustoichivost klassov otobrazhenii i gelderovost starshikh proizvodnykh ellipticheskikh reshenii sistem nelineinykh differentsialnykh uravnenii // Sib. matem. zhurn., 2002, 43(1), 90–107.
Kopylov A. P. Ustoichivost v $C$-norme klassov otobrazhenii. Novosibirsk: Nauka, 1990.
A. P. Kopylov, “On the unique determination of domains by the condition of the local isometry of the boundaries in the relative metrics. II”, Sib. Èlektron. Mat. Izv., 14 (2017), 986–993
5.
A. P. Kopylov, “On the unique determination of domains by the condition of the local isometry of the boundaries in the relative metrics”, Sib. Èlektron. Mat. Izv., 14 (2017), 59–72
6.
V. V. Aseev, A. P. Kopylov, “Unique determination of three-dimensional convex polyhedral domains by relative conformal moduli of boundary condensers”, Sib. J. Pure and Appl. Math., 17:4 (2017), 3–17
A. P. Kopylov, “On the unique determination of three-connected plane domain by the relative conformal moduli of the boundary components”, Sib. J. Pure and Appl. Math., 17:2 (2017), 13–20; J. Math. Sci., 231:2 (2018), 181–188
2016
8.
Anatoly P. Kopylov, Mikhail V. Korobkov, “Rigidity conditions for the boundaries of submanifolds in a Riemannian manifold”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 320–331
A. P. Kopylov, “On Unique Determination of Domains in Euclidean Spaces”, CMFD, 22 (2007), 139–167; Journal of Mathematical Sciences, 153:6 (2008), 869–898
A. P. Kopylov, “Properties of the mappings that are close to the harmonic mappings. II”, Sibirsk. Mat. Zh., 45:4 (2004), 758–779; Siberian Math. J., 45:4 (2004), 628–645
A. P. Kopylov, “On the $W_q^l$-regularity of solutions to systems of differential equations in the case when the equations are constructed from discontinuous functions”, Sibirsk. Mat. Zh., 44:4 (2003), 749–771; Siberian Math. J., 44:4 (2003), 587–604
A. P. Kopylov, M. V. Korobkov, S. P. Ponomarev, “Stability in the Cauchy and Morera theorems for holomorphic functions and their spatial analogs”, Sibirsk. Mat. Zh., 44:1 (2003), 120–131; Siberian Math. J., 44:1 (2003), 99–108
2002
14.
A. P. Kopylov, “Stability of classes of mappings and Hölder continuity of higher derivatives of elliptic solutions to systems of nonlinear differential equations”, Sibirsk. Mat. Zh., 43:1 (2002), 90–107; Siberian Math. J., 43:1 (2002), 68–82
A. P. Kopylov, “On regularity of solutions to systems of partial differential equations which are locally close to elliptic systems of linear equations with constant coefficients. II”, Sibirsk. Mat. Zh., 41:1 (2000), 98–117; Siberian Math. J., 41:1 (2000), 81–99
A. P. Kopylov, “On the regularity of solutions of systems of partial differential equations that are locally close to elliptic systems of linear equations with constant coefficients. I”, Sibirsk. Mat. Zh., 40:4 (1999), 861–879; Siberian Math. J., 40:4 (1999), 726–741
A. P. Kopylov, “Stability in the $C^l$-norm of classes of solutions of systems of linear partial differential equations of elliptic type”, Sibirsk. Mat. Zh., 40:2 (1999), 352–371; Siberian Math. J., 40:2 (1999), 305–321
A. P. Kopylov, “Stability in the $C^1$-norm of sheaves of solutions of elliptic systems of second-order linear partial differential equations”, Sibirsk. Mat. Zh., 39:6 (1998), 1304–1321; Siberian Math. J., 39:6 (1998), 1125–1139
A. P. Kopylov, “On the stability of classes of harmonic mappings in the $C$-norm”, Sibirsk. Mat. Zh., 39:2 (1998), 343–353; Siberian Math. J., 39:2 (1998), 301–310
A. P. Kopylov, “Stability in the $C_1$-norm of classes of harmonic mappings”, Sibirsk. Mat. Zh., 39:1 (1998), 49–66; Siberian Math. J., 39:1 (1998), 42–56
A. P. Kopylov, “On the stability of classes of conformal mappings. III”, Sibirsk. Mat. Zh., 38:4 (1997), 825–842; Siberian Math. J., 38:4 (1997), 715–729
A. P. Kopylov, “On the stability of classes of conformal mappings. II”, Sibirsk. Mat. Zh., 38:2 (1997), 326–343; Siberian Math. J., 38:2 (1997), 281–295
O. L. Bezrukova, N. S. Dairbekov, A. P. Kopylov, “On mappings close in the $C$-norm to classes of solutions of linear elliptic systems of partial differential equations”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 7 (1987), 19–30
1985
27.
N. S. Dairbekov, A. P. Kopylov, “$\xi$-stability of classes of mappings, and systems of linear partial differential equations”, Sibirsk. Mat. Zh., 26:2 (1985), 73–90; Siberian Math. J., 26:2 (1985), 216–230
A. P. Kopylov, “Comment on: “Measure, interior and boundary” [Sibirsk Mat. Zh. 24 (1983), no. 5, 12–14] by A. D. Aleksandrov”, Sibirsk. Mat. Zh., 25:6 (1984), 191–192
29.
A. P. Kopylov, “Boundary values of mappings that are close to isometric ones”, Sibirsk. Mat. Zh., 25:3 (1984), 120–131; Siberian Math. J., 25:3 (1984), 438–447
A. P. Kopylov, “Boundary values of near-conformal mappings of a half space”, Sibirsk. Mat. Zh., 24:5 (1983), 76–93; Siberian Math. J., 24:5 (1983), 708–722
A. P. Kopylov, “Stability of classes of multidimensional holomorphic mappings. III. Properties of mappings that are close to holomorphic”, Sibirsk. Mat. Zh., 24:3 (1983), 70–91; Siberian Math. J., 24:3 (1983), 373–391
A. P. Kopylov, “Stability of classes of multidimensional holomorphic mappings. II. Stability of classes of holomorphic mappings”, Sibirsk. Mat. Zh., 23:4 (1982), 65–89; Siberian Math. J., 23:4 (1982), 500–519
A. P. Kopylov, “Stability of classes of multidimensional holomorphic mappings. I. The concept of stability. Liouville's theorem”, Sibirsk. Mat. Zh., 23:2 (1982), 83–111; Siberian Math. J., 23:2 (1982), 203–224
A. P. Kopylov, “On the removability of a ball for spaces of mappings which are close to conformal”, Dokl. Akad. Nauk SSSR, 234:3 (1977), 525–527
1976
36.
A. P. Kopylov, “Integral averages and quasi-conformal mappings”, Dokl. Akad. Nauk SSSR, 231:2 (1976), 289–291
37.
A. P. Kopylov, “Ahlfors problem on the continuation of quasi-conformal mappings and the quasi-conformal equivalence domains to a ball”, Dokl. Akad. Nauk SSSR, 230:5 (1976), 1025–1028
38.
A. D. Aleksandrov, A. P. Kopylov, A. V. Kuz'minykh, A. V. Shaidenko, “Mappings of families of cones”, Sibirsk. Mat. Zh., 17:4 (1976), 932–935; Siberian Math. J., 17:4 (1976), 699–702
A. P. Kopylov, “On the behavior of quasi-conformal space mappings, close to conformal ones on hyperplanes”, Dokl. Akad. Nauk SSSR, 209:6 (1973), 1278–1280
1972
40.
A. P. Kopylov, “The approximation of spatial quasiconformal mappings that are close to conformal ones by smooth quasiconformal mappings”, Sibirsk. Mat. Zh., 13:1 (1972), 94–106; Siberian Math. J., 13:1 (1972), 67–75
A. P. Kopylov, I. N. Pesin, “Removability of certain sets in the class of three-dimensional quasiconformal mappings”, Mat. Zametki, 7:6 (1970), 717–722; Math. Notes, 7:6 (1970), 432–434
A. P. Kopylov, “The degree of smoothness of the boundary of a region that is homeomorphic to a ball but is not the quasiconformal image of a ball”, Sibirsk. Mat. Zh., 11:5 (1970), 1181–1183; Siberian Math. J., 11:5 (1970), 877–878
1967
43.
A. P. Kopylov, “On the richness of the class of quasiconformal mappings of regions in three-dimensional Euclidean space”, Dokl. Akad. Nauk SSSR, 172:3 (1967), 527–528
1966
44.
A. P. Kopylov, “Homeomorphic mappings in the three-dimensional Euclidean space preserving angles of rays”, Dokl. Akad. Nauk SSSR, 170:5 (1966), 1016–1017
45.
A. P. Kopylov, “The behavior of a three-dimensional quasiconformal mapping on plane sections of the region of definition”, Dokl. Akad. Nauk SSSR, 167:4 (1966), 743–746
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