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.
[Hu] V. Hutson. The circular plate condenser at small separation.Proc. Camb. Phil. Soc. 59 (1963), 211–225.
[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.
[Lo] A. Love. Some electrostatic problems in two dimensions.Proc. London Math. Soc. 22 (1924), 337–350.
[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.
[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.
[We] H. Weyl. On the volume of tubes.Amer. J. Math. 61 (1939), 461–472.
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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
DOI: https://doi.org/10.1007/BF02433453