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Equality cases for condenser capacity inequalities under symmetrization

Dimitrios BetsakosStamatis Pouliasis — 2012

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

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.

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