TY - JOUR
T1 - Application of the argument principle to Maxwell's Conjecture for three point charges
T2 - An International Journal
AU - Peretz, Ronen
PY - 2013/5/1
Y1 - 2013/5/1
N2 - J.C. Maxwell conjectured that if n positive charges, ξj, 1 ≤ j ≤ n, are located in ℝ3 at n points, 1 ≤ j ≤ n, then the number of equilibrium points of the electrostatic potential they generate is finite and contains at most (n-1)2 points [J.C. Maxwell, A Treatise on Electricity and Magnetism, Vol. 1 (Republication of the 3rd revised edition) Dover Publ. Inc., New York, 1954].
AB - J.C. Maxwell conjectured that if n positive charges, ξj, 1 ≤ j ≤ n, are located in ℝ3 at n points, 1 ≤ j ≤ n, then the number of equilibrium points of the electrostatic potential they generate is finite and contains at most (n-1)2 points [J.C. Maxwell, A Treatise on Electricity and Magnetism, Vol. 1 (Republication of the 3rd revised edition) Dover Publ. Inc., New York, 1954].
KW - Maxwell's conjecture
KW - argument principle
UR - http://www.scopus.com/inward/record.url?scp=84878636892&partnerID=8YFLogxK
U2 - 10.1080/17476933.2011.611939
DO - 10.1080/17476933.2011.611939
M3 - Article
AN - SCOPUS:84878636892
VL - 58
SP - 715
EP - 725
JO - Complex Variables and Elliptic Equations
JF - Complex Variables and Elliptic Equations
SN - 1747-6933
IS - 5
ER -