The existence of non-topological solutions for a skew-symmetric Chern-Simons system
Journal
Indiana University Mathematics Journal
Journal Volume
65
Journal Issue
2
Pages
453-491
Date Issued
2016
Author(s)
Huang, G.
Abstract
We investigate the existence of non-topological solutions (u1, u2) satisfying ui(x) = −2βi ln |x|+O(1), as |x | → +∞, such that βi> 1 and (β1 − 1)(β2 − 1)> (N1 + 1)(N2 + 1), for a skew-symmetric Chern-Simons system. By the bubbling analysis and the Leray-Schauder degree theory, we get the existence results except for a finite set of curves:
Type
journal article