Skip to main content
SpringerLink
Log in

On Removable Sets for Degenerated Elliptic Equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

We establish necessary and sufficient conditions of removability of compact sets.

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

Similar content being viewed by others

References

  1. L. Carleson, “Removable singularities of continuous harmonic functions in Rn,” Math. Scand., 12, 15–18 (1963).

    MATH  MathSciNet  Google Scholar 

  2. E. I. Moiseev, “On existence and nonexistence of boundary sets of Neumann problem,” Different. Equat., 9, No. 5, 901–911 (1973).

    MATH  MathSciNet  Google Scholar 

  3. E. M. Landis, “On the problem of uniqueness of solution to the first boundary-value problem for elliptic and parabolic equations of second order,” Usp. Mat. Nauk, 33, No. 3 (1978), 151 p.

  4. T. S. Gadjiev and V. A. Mamedova, “On removable sets of solutions of the second-order elliptic and parabolic equations in nondivergent form,” Ukr. Math. J., 61, No. 11, 1485–1496 (2009).

    Article  MATH  MathSciNet  Google Scholar 

  5. R. Harvey and J. Polking, “Removable singularities of solutions of linear partial differential equations,” Acta Math., 125, 39–56 (1970).

    Article  MATH  MathSciNet  Google Scholar 

  6. T. Kilpelainen and X. Zhong, “Removable sets for continuous solutions of quasilinear elliptic equations,” Proc. Amer. Math. Soc., 130, No. 6, 1681–1688 (2002).

    Article  MathSciNet  Google Scholar 

  7. S. Chanillo and R. Wreeden, “Harnack’s inequality and mean-value inequalities,” Comm. Part Different. Equat., No. 11, 1111–1134 (1986).

  8. W. Littman, G. Stampacchia, and H. Weinberger, “Regular points for elliptic equations with discontinuous coefficients,” Ann. Scuola Norm. Super. Pisa, 17, 45–79 (1963).

    MathSciNet  Google Scholar 

  9. L. Schwartz, Theorie des Distributions, Hermann, Paris (1950, 1951), Vols. 1, 2.

  10. N. S. Landkof, Foundations of the Contemporary Potential Theory, Nauka, Moscow (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

    T. S. Gadjiev & N. Q. Bayramova

Authors
  1. T. S. Gadjiev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. Q. Bayramova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 8, pp. 1041–1057, August, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gadjiev, T.S., Bayramova, N.Q. On Removable Sets for Degenerated Elliptic Equations. Ukr Math J 66, 1165–1184 (2015). https://doi.org/10.1007/s11253-015-1001-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-015-1001-8

Keywords

Search

Navigation