Onofri-type inequalities for singular Liouville equations
classification
🧮 math.AP
math.DG
keywords
functionalgiveinequalitiesonofri-typesingularappliedassumingbehaviour
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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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