Calculus of Variations and Geometric Measure Theory
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W. Ao - A. Jevnikar - W. Yang

On the boundary behavior for the blow up solutions of the sinh-Gordon equation and $B_2, G_2$ Toda systems in bounded domain

created by jevnikar on 24 Oct 2016

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Preprint

Inserted: 24 oct 2016
Last Updated: 24 oct 2016

Year: 2016

Abstract:

In this paper we study the boundary behavior of blow up solutions for the sinh-Gordon equation and $B_2, G_2$ Toda systems in a bounded domain. The fact that the blow up solution may not concentrate makes the analysis delicate: nevertheless, we prove that there is no boundary blow up point with a detailed blow-up analysis and in particular without using any concentration property.

Keywords: Geometric PDEs, Sinh-Gordon equation, Toda system, Blow up analysis, Boundary blow up


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