Isolated singularities for the n-Liouville equation

2020/08/21 by Esposito, Pierpaolo
#35A21 #35B40 (Primary) 35B33 #35J92 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.09595

Abstract

In dimension n isolated singularities -- at a finite point or at infinity -- for solutions of finite total mass to the n-Liouville equation are of logarithmic type. As a consequence, we simplify the classification argument in arXiv:1609.03608 and establish a quantization result for entire solutions of the singular n-Liouville equation.

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