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Onofri-type inequalities for singular Liouville equations

Published 28 Aug 2014 in math.AP and math.DG | (1408.6722v1)

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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Authors (1)

  1. Gabriele Mancini 

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