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arXiv · 1307.3921

A Moser-Trudinger inequality for the singular Toda system

Luca Battaglia·Andrea Malchiodi
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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 for the scalar case, as well as 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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Luca Battaglia, Andrea Malchiodi. 2013-10-07. A Moser-Trudinger inequality for the singular Toda system. https://arxiv.org/abs/1307.3921

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