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Singular Liouville Equations on S^2: Sharp Inequalities and Existence Results

TitleSingular Liouville Equations on S^2: Sharp Inequalities and Existence Results
Publication TypePreprint
2015
AuthorsMancini, G

We prove a sharp Onofri-type inequality and non-existence of extremals for a Moser-Tudinger functional on S^2 in the presence of potentials having positive order singularities. We also investigate the existence of critical points and give some sufficient conditions under symmetry or nondegeneracy assumptions.

http://urania.sissa.it/xmlui/handle/1963/34489

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