A note on equilibrium points of green's function

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Abstract

We answer a question raised by Ahmet Sebbar and Thérèse Falliero (2007) by showing that for every finitely connected planar domain Ω there exists a compact subset K ⊂ Ω, independent of w, containing all critical points of Green's function G(z,w) of Ω with pole at w ε Ω.

Original languageEnglish
Pages (from-to)1019-1021
Number of pages3
JournalProceedings of the American Mathematical Society
Volume136
Issue number3
DOIs
StatePublished - Mar 2008

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