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Onofri-Type Inequalities for Singular Liouville Equations

TitleOnofri-Type Inequalities for Singular Liouville Equations
Publication TypeJournal Article
Year of Publication2015
AuthorsMancini, G
Abstract

We study the blow-up behavior 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.

DOI10.1007/s12220-015-9589-3

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