TY - JOUR

T1 - A note on equilibrium points of green's function

AU - Solynin, Alexander Yu

PY - 2008/3

Y1 - 2008/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77950618953&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-07-09156-3

DO - 10.1090/S0002-9939-07-09156-3

M3 - Article

AN - SCOPUS:77950618953

VL - 136

SP - 1019

EP - 1021

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -