A class of existence results for the singular Liouville equation

DOI10.1016/j.crma.2010.12.016zbMath1216.35067OpenAlexW2041823138MaRDI QIDQ627743

Andrea Malchiodi, Alessandro Carlotto

Publication date: 3 March 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.12.016

zbMATH Keywords

singular Liouville equationglobal variational methodsspace of formal barycenters

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75) Topological and monotonicity methods applied to PDEs (35A16)

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Onofri-type inequalities for singular Liouville equations ⋮ Prescribing the \(Q\)-curvature on the sphere with conical singularities ⋮ Conical metrics on Riemann surfaces. I: The compactified configuration space and regularity ⋮ The \(\operatorname{SU}(3)\) Toda system with multiple singular sources ⋮ Existence results for Liouville equations and systems ⋮ Weighted barycentric sets and singular Liouville equations on compact surfaces ⋮ On the solvability of singular Liouville equations on compact surfaces of arbitrary genus

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