ASYMPTOTIC RADIAL SYMMETRY FOR SOLUTIONS OF DELTA-U+E(U)=0 IN A PUNCTURED DISC

Authors
CHOU KS WAN TYH
Citation
Ks. Chou et Tyh. Wan, ASYMPTOTIC RADIAL SYMMETRY FOR SOLUTIONS OF DELTA-U+E(U)=0 IN A PUNCTURED DISC, Pacific journal of mathematics, 163(2), 1994, pp. 269-295
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
163
Issue
2
Year of publication
1994
Pages
269 - 295
Database
ISI
SICI code
0030-8730(1994)163:2<269:ARSFSO>2.0.ZU;2-#
Abstract
In this paper a representation formula for solutions of the equation ( ) DELTAu + 2Ke(u) = 0, K a constant, in a punctured disc in terms of multi-valued meromorphic functions is found. As application it is dedu ced that a necessary and sufficient condition for a solution of (), K > 0, being asymptotic radially symmetric is integral e(u) < infinity.