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

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Literature cited

  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).

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  3. G. N. Yakovlev, “The Dirichlet problem for a domain with a non-Lipschitz boundary,” Differents. Uravn,8, 1085–1098 (1965).

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  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).

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Authors and Affiliations

  1. Zhdanov Leningrad State University, USSR

    V. G. Maz'ya & S. V. Poborchii

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  1. V. G. Maz'ya
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  2. S. V. Poborchii
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Translated from Matematicheskie Zametki, Vol. 45, No. 1, pp. 57–65, January, 1989.

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Maz'ya, V.G., Poborchii, S.V. Traces of functions with summable gradient in a domain with a peak summit on the boundary. Mathematical Notes of the Academy of Sciences of the USSR 45, 39–44 (1989). https://doi.org/10.1007/BF01158714

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  • DOI: https://doi.org/10.1007/BF01158714

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