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arXiv · 1007.3861

New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces

Andrea Malchiodi·David Ruiz
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Abstract

We consider a singular Liouville equation on a compact surface, arising from the study of Chern-Simons vortices in a self dual regime. Using new improved versions of the Moser-Trudinger inequalities (whose main feature is to be scaling invariant) and a variational scheme, we prove new existence results.

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Andrea Malchiodi, David Ruiz. 2010-07-22. New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces. https://arxiv.org/abs/1007.3861

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