Equality cases for condenser capacity inequalities under symmetrization

Dimitrios Betsakos, Stamatis Pouliasis

Abstract


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.

Keywords


Steiner symmetrization; Schwarz symmetrization; polarization; condenser; capacity; Green function

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References


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DOI: http://dx.doi.org/10.2478/v10062-012-0009-x
Date of publication: 2016-07-25 12:22:15
Date of submission: 2016-07-24 22:02:17


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