Skip to main content
SpringerLink
Log in

Asymptotics of a condenser capacity and invariants of Riemannian submanifolds

  • Published:
Selecta Mathematica 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

References

  • V. Ignatowski. The circular plate condenser.Proceedings of Steklov Math. Inst. II (1932).

  • A. Il'in. Boundary value problem for an elliptic equation in a region with narrow chink.Matem. Sbornick 99:4 (1976), 514–537.

    Google Scholar 

  • [Hu] V. Hutson. The circular plate condenser at small separation.Proc. Camb. Phil. Soc. 59 (1963), 211–225.

    Article  MATH  MathSciNet  Google Scholar 

  • [K] G. Kirchoff. Zur Theorie des Condensators.Monatsber. der Akad. der Wiss. zu Berlin (1877), 101–121.

  • [LL] F. Leppington and H. Levine. On the capacity of the circular plate condenser at small separation.Proc. Camb. Phil. Soc. 68 (1970), 235–254.

    Article  MathSciNet  Google Scholar 

  • [Lo] A. Love. Some electrostatic problems in two dimensions.Proc. London Math. Soc. 22 (1924), 337–350.

    Article  Google Scholar 

  • [MP] V. Maz'ja and B. Plamenevskii.Asymptotics of solutions of elliptic boundary value problems in singularity perturbed domains, Tbilisi, 1981.

  • [PS] G. Pólya and G. Szegö.Isoperimetric inequalities in mathematical physics, Princeton, 1951.

  • [So1] Y. Soibelman. On the asymptotic formula for the condenser capacity.Russian Doklady 258:3 (1981), 590–593.

    MathSciNet  Google Scholar 

  • [So2] Y. Soibelman. Asymptotics of the capacity of the condenser with plates of an arbitrary shape.Siberian Mathematical Journal 25 No. 6 (1884), 167–181.

    MathSciNet  Google Scholar 

  • [We] H. Weyl. On the volume of tubes.Amer. J. Math. 61 (1939), 461–472.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Kansas State University, 66506, Manhattan, KS, USA

    Yan Soibelman

Authors
  1. Yan Soibelman
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Soibelman, Y. Asymptotics of a condenser capacity and invariants of Riemannian submanifolds. Selecta Mathematica, New Series 2, 653 (1996). https://doi.org/10.1007/BF02433453

Download citation

  • DOI: https://doi.org/10.1007/BF02433453

Keywords

Search

Navigation