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arXiv · 1408.6722

Onofri-type inequalities for singular Liouville equations

Gabriele Mancini
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Abstract

We study the blow-up behaviour of minimizing sequences for the singular Moser-Trudinger functional on compact surfaces. Assuming non-existence of minimum points, we give an estimate for the infimum value of the functional. This result can be applied to give sharp Onofri-type inequalities on the sphere in the presence of at most two singularities.

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Gabriele Mancini. 2014-08-28. Onofri-type inequalities for singular Liouville equations. https://arxiv.org/abs/1408.6722

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