Skip to main content
SpringerLink
Log in

Solutions of boundary-value problems for an elliptic equation degenerate on a part of the boundary

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. S. M. Nikol'skii, P. I. Lizorkin, and N. V. Miroshin, “Weighted functional spaces and their applications to the study of boundary value problems for degenerate elliptic equations,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 8, 4–30 (1988).

    Google Scholar 

  2. S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. A. V. Bitsadze, Some Classes of Equations in Partial Derivatives [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  4. O. A. Oleinik and E. V. Radkevich, Second-Order Equations with Nonnegative Characteristic Form [in Russian], VINITI, Moscow (1971).

    Google Scholar 

  5. M. M. Smirnov, Degenerate Elliptic and Hyperbolic Equations [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  6. V. P. Glushko and Yu. B. Savchenko, “Degenerate elliptic equations of high order: spaces, operators, boundary problems,” Itogi Nauki i Tekh., Ser. Mat. Anal.,23 (1985).

  7. M. I. Vishik and V. V. Grushin, “Boundary value problems for elliptic equations degenerate on the boundary of a domain,” Mat. Sb.,80, No. 4, 455–491 (1969).

    Google Scholar 

  8. V. G. Maz'ya and B. A. Plamenevskii, “Estimates of solutions of elliptic boundary problems in domains with edges,” Trudy Mosk. Mat. Obshch.,37, 49–93 (1978).

    Google Scholar 

  9. I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Linear Non-Self-Adjoint Operators [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  10. V. A. Kondrat'ev, “Boundary value problems for elliptic equations in domains with conical or corner points,” Trudy Mosk. Obshch.,16, 209–292 (1967).

    Google Scholar 

  11. M. S. Agranovich and M. I. Vishik, “Elliptic problems with a parameter and parabolic problems of general form,” Usp. Mat. Nauk,19, No. 3, 53–161 (1964).

    Google Scholar 

  12. H. Bateman and A. Erdelyi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York (1953).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. V. V. Kuibyshev Moscow Structural Engineering Institute, Moscow

    L. A. Bagirov

Authors
  1. L. A. Bagirov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskii Zametki, Vol. 47, No. 1, pp. 29–38, January, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bagirov, L.A. Solutions of boundary-value problems for an elliptic equation degenerate on a part of the boundary. Mathematical Notes of the Academy of Sciences of the USSR 47, 20–26 (1990). https://doi.org/10.1007/BF01157279

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01157279

Keywords

Search

Navigation