Existence of solution for mean field equation for the equilibrium turbulence

DOI10.1016/j.na.2007.08.029zbMath1158.58010OpenAlexW2015692858MaRDI QIDQ949677

Chunqin Zhou

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.029

zbMATH Keywords

Critical and supercritical caseExistence of solutionMean field equation

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (7)

A note on a multiplicity result for the mean field equation on compact surfaces ⋮ Existence of solutions to a class of Kazdan-Warner equations on compact Riemannian surface ⋮ Mean Field Equations for the Equilibrium Turbulence and Toda Systems on Connected Finite Graphs ⋮ The convergence of the mean field type flow at a critical case ⋮ On a class of Kazdan–Warner equations ⋮ Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents ⋮ EXISTENCE RESULT FOR MEAN FIELD EQUATION OF THE EQUILIBRIUM TURBULENCE IN THE SUPER CRITICAL CASE

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