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Uniqueness of solutions to singular Liouville-type equations Jevnikar, Aleks

Description

We deduce new uniqueness results for solutions to singular Liouville-type equations both on spheres and on bounded domains, as well as new self-contained proofs of previously known results. To this end, we derive a singular Sphere Covering Inequality based on the singular Alexandrov-Bol isoperimetric inequality and symmetric rearrangements. Work in collaboration with D. Bartolucci, C. Gui and A. Moradifam

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