Sharp existence results for mean field equations with singular data

DOI10.1016/j.jde.2011.12.014zbMath1238.35035OpenAlexW2037466390MaRDI QIDQ765935

Chang-Shou Lin, Daniele Bartolucci

Publication date: 22 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.12.014

zbMATH Keywords

existence of solutionsDirac mass with singular point

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with fluid mechanics (35Q35) PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence theories in calculus of variations and optimal control (49J99)

Related Items (5)

Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials ⋮ An improved geometric inequality via vanishing moments, with applications to singular Liouville equations ⋮ Theory of ``critical points at infinity and a resonant singular Liouville-type equation ⋮ Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter ⋮ Supercritical mean field equations on convex domains and the Onsager's statistical description of two-dimensional turbulence

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