Skip to main content
Log in

Behavior near the boundary of the solutions of degenerate second-order elliptic equations

  • 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

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

Instant access to the full article PDF.

Literature cited

  1. N. Wiener, “Certain notions in potential theory,” J. Math. Phys.,3, 24–51 (1924).

    Google Scholar 

  2. E. M. Landis, Second-Order Elliptic and Parabolic Equations [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  3. V. G. Maz'ya, “Behavior near the boundary of the solution of the Dirichlet problem for a second-order elliptic equation in the divergence form,” Mat. Zametki,2, No. 2, 209–220 (1967).

    Google Scholar 

  4. A. A. Novruzov, “On the modulus of continuity of the solution of the Dirichlet problem at a regular boundary point,” Mat. Zametki,12, No. 1, 67–72 (1972).

    Google Scholar 

  5. A. A. Novruzov, “On the regularity of boundary points for second-order degenerate elliptic equations,” Dokl. Akad. Nauk SSSR,223, No. 6, 1311–1313 (1975).

    Google Scholar 

  6. D. A. Krupskaya, “Regularity of boundary points for second-order degenerate elliptic equations,” Differents. Uravn.,13, No. 4, 654–667 (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 30, No. 3, pp. 343–352, September, 1981.

The author expresses his gratitude to A. A. Novruzov for his constant interest in this paper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mamedov, I.T. Behavior near the boundary of the solutions of degenerate second-order elliptic equations. Mathematical Notes of the Academy of Sciences of the USSR 30, 661–666 (1981). https://doi.org/10.1007/BF01141621

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01141621

Keywords

Navigation