Skip to main content
Log in

Green's formula and the hypothesis of solvability for nonlocal elliptic boundary problems

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Literature cited

  1. A. V. Bitsadze and A. A. Samarskii, “On some of the simplest generalizations of linear elliptic boundary problems”, Dokl. Akad. Nauk SSSR,185, No. 4 (1969).

  2. Ya. A. Roitberg and Z. G. Sheftel', “On a class of general nonlocal elliptic problems”, Dokl. Akad, Nauk SSSR,192, No. 3, (1970).

  3. Ya. A. Roitberg and Z. G. Sheftel', “Nonlocal problems for elliptic equations and systems”, Sibirsk Matem. Zh,13, No. 1 (1972).

  4. N. V. Zhitarashu and S. D. Eidel'man, “On nonlocal boundary problems for elliptic equations”, Matem. Issled.,6, No. 2 (20), Kishinev (1971).

  5. Ya. A. Roitberg and Z. G. Sheftel', “Green's formula and theorems of homeomorphisms for nonlocal elliptic boundary problems”, Dokl. Akad. Nauk SSSR,201, No. 5 (1971).

  6. É. Madzhenes, “Interpolation spaces and partial differential equations”, UMN,21, No. 2 (1966).

  7. Ya. A. Roitberg and Z. G. Sheftel', “ Theorems on homeomorphisms for elliptic systems and their applications”, Matem Sb, 78, No. 3 (1969).

  8. Yu.M. Berezanskii, Decomposition by Eigenfunctions of Self-adjoint Operators [in Russian], Naukova Dumka, Kiev (1965).

    Google Scholar 

  9. M. Schechter, “General boundary problems for elliptic partial differential equations” (Collection of translations),4, No. 5 (1960).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 479–491, July–August, 1973.

The authors are profoundly grateful to Yu. M. Berezanskii for discussions of the results.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roitberg, Y.A., Sheftel', Z.G. Green's formula and the hypothesis of solvability for nonlocal elliptic boundary problems. Ukr Math J 25, 396–405 (1973). https://doi.org/10.1007/BF01085452

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085452

Keywords

Navigation