Generalized condensers and the asymptotics of their capacities under degeneration of some plates
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 38-51
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This note presents the simplest properties of the conformal capacity of generalized condensers concentrated on domains of the Riemann sphere. The asymptotic formula for the capacity of a generalized condenser as some of its plates contract to points is derived.
@article{ZNSL_2003_302_a2,
author = {V. N. Dubinin},
title = {Generalized condensers and the asymptotics of their capacities under degeneration of some plates},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {38--51},
publisher = {mathdoc},
volume = {302},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a2/}
}
TY - JOUR AU - V. N. Dubinin TI - Generalized condensers and the asymptotics of their capacities under degeneration of some plates JO - Zapiski Nauchnykh Seminarov POMI PY - 2003 SP - 38 EP - 51 VL - 302 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a2/ LA - ru ID - ZNSL_2003_302_a2 ER -
V. N. Dubinin. Generalized condensers and the asymptotics of their capacities under degeneration of some plates. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 38-51. http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a2/