On the equilibrium measure and the capacity of certain condensers
Betsakos, Dimitrios
Illinois J. Math., Tome 44 (2000) no. 4, p. 681-689 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We prove some geometric estimates for the equilibrium measure and the capacity of certain condensers. The proofs are based on the interpretation of the equilibrium measure as the distributional Laplacian of the corresponding potential, on a formula of T. Bagby, and on a method of Beurling and Nevanlinna that involves the transport of the Riesz mass of a superharmonic function.
Publié le : 2000-09-15
Classification:  31A15,  30C85 
@article{1256060424,
     author = {Betsakos, Dimitrios},
     title = {On the equilibrium measure and the capacity of certain condensers},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 681-689},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256060424}
}

Betsakos, Dimitrios. On the equilibrium measure and the capacity of certain condensers. Illinois J. Math., Tome 44 (2000) no. 4, pp.  681-689. http://gdmltest.u-ga.fr/item/1256060424/