Symmetry of solutions of a mean field equation on flat tori

2016/05/23 by Gui, Changfeng, Moradifam, Amir · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.06905

Abstract

We study symmetry of solutions of the mean field equation Δu +ρ(\fracKe^u∫_Tε Ke^u -(1)/(|T_ε|) )=0 on the flat torus T_ε=[-(1)/(2ε), (1)/(2ε)] × [-(1)/(2), (1)/(2)] with 0

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