no. 5
The Martin compactification of a plane domain
Annales de l'Institut Fourier, Tome 44 (1994) no. 5, pp. 1351-1354

We prove that the Martin compactification of a plane domain is homeomorphic to a subset of the two-dimensional sphere.

On montre que la compactification de Martin d’un domaine plan est homéomorphe à un sous ensemble de la sphère de dimension deux.

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     author = {Nadirashvili, Nikolai S.},
     title = {The {Martin} compactification of a plane domain},
     journal = {Annales de l'Institut Fourier},
     pages = {1351--1354},
     year = {1994},
     publisher = {Association des Annales de l'Institut Fourier},
     volume = {44},
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     doi = {10.5802/aif.1436},
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Nadirashvili, Nikolai S. The Martin compactification of a plane domain. Annales de l'Institut Fourier, Tome 44 (1994) no. 5, pp. 1351-1354. doi: 10.5802/aif.1436

[1] J.L. Doob, Classical potential theory and its probabilistic counterpart, Springer, 1984. | Zbl | MR

[2] N.S. Nadirashvili, Multiple eigenvalues of the Laplace operator (Russian), Matem. Sb., 133 (175), 1987 ; English translation in Math. USSR Sbornik, 61 (1988), 225-238. | Zbl | MR

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