Skip to main content
SpringerLink
Log in

General elliptic boundary value problems with power singularities on their right sides

  • Brief Communications
  • 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

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. Ya. A. Roitberg, “On the solvability of general boundary value problems for elliptic equations when the right sides contain power singularities,” Ukr. Matem. Zh.,20, No. 3 (1968).

  2. Yu. P. KrasovsMi, “Differential properties of the solutions of elliptic boundary value problems with power singularities in the right sides,” Izv. Akad. Nauk SSSR, Ser. Matem.,35, No. 1 (1971).

  3. Ya. A. Roitberg, “Theorems on homeomorphisms and Green's formula for general elliptic boundary value problems with boundary conditions which are not normal,” Matem. Sb.,83(125), No. 2(10) (1970).

  4. Yu. V. Kostarchuk and Ya. A. Roitberg, “Theorems on isomorphisms for elliptic boundary value problems with boundary conditions which are not normal,” Ukr. Matem. Zh.,25, No. 2 (1973).

  5. Ya. A. Roitberg, “Elliptic problems with inhomogeneous boundary conditions and a local increase of smoothness up to the boundary of the generalized solutions,” Dokl. Akad. Nauk SSSR,157, No. 4 (1964).

  6. Ya. A. Roitberg, “A theorem on homeomorphisms realizable in Lp by elliptic operators, and local increase of the smoothness of the generalized solutions.” Ukr. Matem. Zh.,17, No. 5 (1965).

  7. Ya. A. Roitberg, “Theorems on homeomorphisms realizable by elliptic operators,” Dokl. Akad. Nauk SSSR,180, No. 3 (1968).

  8. Yu. M. Berezanskii and Ya. A. Roitberg, “A theorem on homeomorphisms and the Green's function for general elliptic boundary value problems, ” Ukr. Matem. Zh., 19, No. 5 (1967).

    Google Scholar 

  9. Yu. M. Berezanskii, Eigenfunction Expansion of Self-Conjugate Operators [in Russian], Naukova Dumka, Kiev (1965).

    Google Scholar 

  10. Ya. A. Roitberg, “On the values of the generalized solutions of elliptic equations on the boundary of a domain,” Matem. Sb.,86 (128), No. 2(10) (1971).

  11. I. M. Gel'fand and G. E. Shilov, Distributions and Operations on Them [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  12. Yu. V. Kostarchuk, “Local improvement of the smoothness of generalized solutions of elliptic boundary value problems with boundary conditions which are not normal,” Ukr. Matem. Zh.,25, No. 4 (1973).

Download references

Author information

Authors and Affiliations

  1. Kiev Pedagogical Institute, USSR

    Yu. V. Kostarchuk

Authors
  1. Yu. V. Kostarchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 6, pp. 798–803, November–December, 1973.

In conclusion the author thanks Yu. M. Berezanskii and Ya. A. Roiberg for guidance.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kostarchuk, Y.V. General elliptic boundary value problems with power singularities on their right sides. Ukr Math J 25, 662–666 (1973). https://doi.org/10.1007/BF01090800

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090800

Keywords

Search

Navigation