Equality cases for condenser capacity inequalities under symmetrization

Dimitrios Betsakos; Stamatis Pouliasis

Annales UMCS, Mathematica (2012)

  • Volume: 66, Issue: 2, page 1-24
  • ISSN: 2083-7402

Abstract

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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.

How to cite

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Dimitrios Betsakos, and Stamatis Pouliasis. "Equality cases for condenser capacity inequalities under symmetrization." Annales UMCS, Mathematica 66.2 (2012): 1-24. <http://eudml.org/doc/268272>.

@article{DimitriosBetsakos2012,
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.},
author = {Dimitrios Betsakos, Stamatis Pouliasis},
journal = {Annales UMCS, Mathematica},
keywords = {Steiner symmetrization; Schwarz symmetrization; polarization; condenser; capacity; Green function.; Green function},
language = {eng},
number = {2},
pages = {1-24},
title = {Equality cases for condenser capacity inequalities under symmetrization},
url = {http://eudml.org/doc/268272},
volume = {66},
year = {2012},
}

TY - JOUR
AU - Dimitrios Betsakos
AU - Stamatis Pouliasis
TI - Equality cases for condenser capacity inequalities under symmetrization
JO - Annales UMCS, Mathematica
PY - 2012
VL - 66
IS - 2
SP - 1
EP - 24
AB - 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.
LA - eng
KW - Steiner symmetrization; Schwarz symmetrization; polarization; condenser; capacity; Green function.; Green function
UR - http://eudml.org/doc/268272
ER -

References

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