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Integral estimates for the derivatives of solutions of homogeneous elliptic equations with reduced requirements on the smoothness of the boundary of the domain

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. A. S. Fokht, “Some imbedding theorems for solutions of an elliptic equation,” Tr. Matem. In-ta im. V. A. Steklova AN SSSR, 105 (1969).

  2. A. S. Fokht, “A lemma for computing variation with application to imbedding theorems, ” Dokl. Akad. Nauk SSSR,176, No. 3 (1967).

  3. A. S. Fokht, “Some inequalities for solutions of elliptic equations and their derivatives in the L2 metric near the boundary of the domain, ” Tr. Matern. In-ta im. V. A. Steklova AN SSSR,77 (1965).

  4. I. P. Natanson, Theory of Functions of a Real Variable, Gostekhizdat, Moscow-Leningrad (1950).

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  5. G. M. Fikhtengol'ts, A Course in Differential and Integral Computation [in Russian], Vol. 3, Gostekhizdat, Moscow-Leningrad (1949).

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  6. O. V. Besov, “The behavior of differentiable functions on nonsmooth surfaces, Tr. Matem. In-ta im. V. A. Steklova AN SSSR,117 (1972).

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Authors and Affiliations

  1. Moscow Physicotechnical Institute, USSR

    A. S. Fokht

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  1. A. S. Fokht
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Translated from Ukrainskii Matematicheskii Zhurnal. Vol. 24, No. 6, pp. 852–855, November–December, 1972.

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Fokht, A.S. Integral estimates for the derivatives of solutions of homogeneous elliptic equations with reduced requirements on the smoothness of the boundary of the domain. Ukr Math J 24, 687–689 (1972). https://doi.org/10.1007/BF01085425

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  • DOI: https://doi.org/10.1007/BF01085425

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