2014 / March Volume 9 No.1
A Moser-Trudinger Inequality for the Singular Toda System
Published Date |
2014 / March
|
---|---|
Title | A Moser-Trudinger Inequality for the Singular Toda System |
Author | |
Keyword | |
Download | |
Pagination | 1-23 |
Abstract | In this paper we prove a sharp version of the Moser-Trudinger inequality for the Euler-Lagrange functional of a singular Toda system, motivated by the study of models in Chern-Simons theory. Our result extends those in [14] and [37] for the scalar case, as well as that in [23] for the regular Toda system. We expect this inequality to be a basic tool to attack variationally the existence problem under general assumptions.
|
AMS Subject Classification |
35J50, 35J61, 35R01
|
Received |
2013-10-04
|
Accepted |
2013-10-04
|