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.
Onofri-Type inequalities for singular liouville equations / Mancini, Gabriele. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 26:2(2016), pp. 1202-1230. [10.1007/s12220-015-9589-3]
Onofri-Type inequalities for singular liouville equations
Mancini, Gabriele
2016
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.File allegati a questo prodotto
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