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

Loading...
Thumbnail Image
Date
2015-08
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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.
Description
Keywords
Onofri’s inequality, singularities, Moser–Trudinger, Sphere
Citation
Collections