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Vasil'chik Mikhail Yulianovich

Publications in Math-Net.Ru

  1. Boundary behavior of functions from Sobolev classes defined on domains with exterior peak

    Mat. Tr., 17:1 (2014),  70–98
  2. An integral representation and boundary behavior of functions defined in a domain with a peak

    Mat. Tr., 13:1 (2010),  23–62
  3. Solvability of the Third Boundary-Value Problem in a Domain with a Peak

    Mat. Zametki, 78:3 (2005),  466–468
  4. The Boundary Behavior of Functions of Sobolev Spaces Defined on a Planar Domain with a Peak Vertex on the Boundary

    Mat. Tr., 6:1 (2003),  3–27
  5. On the differentiability almost everywhere of functions in Besov spaces

    Sibirsk. Mat. Zh., 40:4 (1999),  738–744
  6. Some applications of integral representations to studying boundary properties of differentiable functions

    Trudy Inst. Mat. SO RAN, 31 (1996),  58–99
  7. A conversible characteristic for the traces of functions in Sobolev spaces on the piecewise smooth boundary of a plane domain

    Trudy Inst. Mat. SO RAN, 31 (1996),  40–57
  8. Boundary properties of functions of the Sobolev space defined in a planar domain with angular points

    Sibirsk. Mat. Zh., 36:4 (1995),  787–804
  9. On necessary and sufficient conditions for the trace of functions from the Sobolev space on the boundary of a plane domain with a non-Lipschitz boundary

    Trudy Inst. Mat. SO RAN, 21 (1992),  5–29
  10. The traces of functions in a Sobolev space defined in a plane domain with a non-Lipschitzian boundary

    Dokl. Akad. Nauk SSSR, 319:2 (1991),  275–277
  11. Traces of functions in Sobolev spaces $W_p^1$, defined in domains with non-Lipschitz boundary

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 14 (1989),  9–45
  12. Quasiconformal mapping of a ridge onto a “spire”

    Sibirsk. Mat. Zh., 27:4 (1986),  20–34
  13. A symmetric mapping of spatial domains that are infinitely near a ball, with an asymptotically minimal coefficient of quasiconformality

    Sibirsk. Mat. Zh., 23:4 (1982),  29–42
  14. The asymptotic behavior of minimal quasiconformality coefficients for space domains

    Dokl. Akad. Nauk SSSR, 249:4 (1979),  777–780
  15. Estimates of the order of proximity to unity of the distortion coefficient of domains infinitely close to the unit ball

    Sibirsk. Mat. Zh., 20:5 (1979),  964–977
  16. Errata: “The lower bound of the distortion coefficient for infinitely close domains” [Sibirsk. Mat. Z. 19 (1978), no. 3, 547–554]

    Sibirsk. Mat. Zh., 20:4 (1979),  924
  17. The lower bound of the distortion coefficient for infinitely close domains

    Sibirsk. Mat. Zh., 19:3 (1978),  547–554


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