2014 / March Volume 9 No.1
A Moser-Trudinger Inequality for the Singular Toda System
| Published Date |
2014 / March
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|---|---|
| Title | A Moser-Trudinger Inequality for the Singular Toda System |
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| 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.
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| AMS Subject Classification |
35J50, 35J61, 35R01
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| Received |
2013-10-04
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| Accepted |
2013-10-04
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