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

A Moser-Trudinger inequality for the singular Toda system

MALCHIODI, ANDREA
2014

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
Toda system, best constants, Moser-Trudinger inequalities, singular Liouville equation
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/56105
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