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
SN - 0002-9939
VL - 136
SP - 1019
EP - 1021
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 3
ER -