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The solvability of elliptic problems in limiting regions

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Literature cited

  1. S. G. Krein, “The behavior of solutions of elliptic problems when the region is varied,” Studia Mathematica,31, 411–428 (1968).

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  2. Zh.-L. Lions and É. Madzhenes, Homogeneous Boundary Value Problems and Their Applications [Russian translation], Mir, Moscow (1971).

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  3. S. Agmon, A. Duglis, and L. Nirenberg, Bounds near the Boundary for the Solutions of Elliptic Partial Differential Equations for General Boundary Conditions [Russian translation], Vol. 1, IL, Moscow (1962).

  4. V. M. Babich, “The problem of the extension of functions,” Uspekhi Matem. Nauk,8, No. 2 (1953).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 1, pp. 99–103, January–February, 1973.

The author wishes to thank S. G. Krein under whose leadership this paper was prepared.

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Ivanov, L.A. The solvability of elliptic problems in limiting regions. Ukr Math J 25, 82–85 (1973). https://doi.org/10.1007/BF01085397

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  • DOI: https://doi.org/10.1007/BF01085397

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