It is well known that certain transformations decrease the capacity of a condenser. We prove equality statements for the condenser capacity inequalities under symmetrization and polarization without connectivity restrictions on the condenser and without regularity assumptions on the boundary of the condenser.
@article{bwmeta1.element.doi-10_2478_v10062-012-0009-x,
author = {Dimitrios Betsakos and Stamatis Pouliasis},
title = {Equality cases for condenser capacity inequalities under symmetrization},
journal = {Annales UMCS, Mathematica},
volume = {66},
year = {2012},
pages = {1-24},
zbl = {1298.31005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0009-x}
}
Dimitrios Betsakos; Stamatis Pouliasis. Equality cases for condenser capacity inequalities under symmetrization. Annales UMCS, Mathematica, Tome 66 (2012) pp. 1-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0009-x/
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