A simplification of the proof of the existence of the extremal function for the Moser-Trudinger inequality

2005/06/10 by Yuxiang Li, Li, Yuxiang
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.math/0506202

Abstract

In a previous paper, the author proved the existence of extremal function for the Moser-Trudinger inequality on a compact manifold. In the this paper, we will give a new proof of one of the key proposition.

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