Asymptotic radial symmetry for solutions of Δu + e^u = 0 in a punctured disc

Kai Seng (Kaising) Chou (Tso) and Tom Yau-Heng Wan

Vol. 163 (1994), No. 2, 269–276

DOI: 10.2140/pjm.1994.163.269

Abstract

In this paper a representation formula for solutions of the equation

(∗)

in a punctured disc in terms of multi-valued meromorphic functions is found. As application it is deduced that a necessary and sufficient condition for a solution of (∗), K > 0, being asymptotic radially symmetric is

Mathematical Subject Classification 2000

Primary: 35J60

Secondary: 53C21

Milestones

Received: 28 April 1992

Revised: 6 July 1992

Published: 1 April 1994