Condenser capacity under multivalent holomorphic functions

Michael Papadimitrakis, Stamatis Pouliasis

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We prove an inequality for the capacity of a condenser via a holomorphic function f, under a valency assumption on f, and we show that equality occurs if and only if f has finite constant valency. Also, we generalize a well known inequality for quasiregular mappings and we give a necessary condition for the case of equality.

Original languageEnglish
Pages (from-to)11-20
Number of pages10
JournalComputational Methods and Function Theory
Issue number1
StatePublished - May 2013


  • Condenser capacity
  • Green energy
  • Quasiregular mappings
  • Valency


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