Traces of functions with summable gradient in a domain with a peak summit on the boundary

  • V. G. Maz'ya
  • S. V. Poborchii


Peak Summit 
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Literature cited

  1. 1.
    E. Gagliardo, “Caratterizazioni delle trace sulla frontiera relative ad alcune classi di funzioni in piu variabili,” Rend. Semin. Mat. Univ. Padova,27, 284–305 (1957).Google Scholar
  2. 2.
    G. Anzelotti and M. Giaquinta, “BV-functions and traces,” Rend. Sem. Mat. Univ. Padova,60, 1–21 (1979).Google Scholar
  3. 3.
    G. N. Yakovlev, “The Dirichlet problem for a domain with a non-Lipschitz boundary,” Differents. Uravn,8, 1085–1098 (1965).Google Scholar
  4. 4.
    V. G. Maz'ya, “On functions with finite Dirichlet integral in domains with peak summit on the boundary,” J. Sov. Math.,27, No. 1 (1984).Google Scholar
  5. 5.
    V. G. Maz'ya and S. V. Poborchii, “On extension of functions in Sobolev spaces into the exterior and into the interior of a small domain,” Vestn. Leningr. Gos. Univ. Mat., Mekh., Astron.,7, 27–32 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • V. G. Maz'ya
    • 1
  • S. V. Poborchii
    • 1
  1. 1.Zhdanov Leningrad State UniversityUSSR

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