On the location of two blow up points on an annulus for the mean field equation

2014/04/22 by Massimo Grossi, Grossi, M., Futoshi Takahashi +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1404.5449

Abstract

We consider the mean field equation on two-dimensional annular domains, and prove that if P and Q are two blow up points of a blowing-up solution sequence of the equation, then we must have P=-Q.

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