Equality cases for condenser capacity inequalities under symmetrization

Dimitrios Betsakos; Stamatis Pouliasis

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2012)

  • Volume: 66, Issue: 2
  • ISSN: 0365-1029

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 Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 66.2 (2012): null. <http://eudml.org/doc/289723>.

@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 Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Steiner symmetrization; Schwarz symmetrization; polarization; condenser; capacity; Green function},
language = {eng},
number = {2},
pages = {null},
title = {Equality cases for condenser capacity inequalities under symmetrization},
url = {http://eudml.org/doc/289723},
volume = {66},
year = {2012},
}

TY - JOUR
AU - Dimitrios Betsakos
AU - Stamatis Pouliasis
TI - Equality cases for condenser capacity inequalities under symmetrization
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2012
VL - 66
IS - 2
SP - null
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
UR - http://eudml.org/doc/289723
ER -

References

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