Inserted: 24 oct 2016
Last Updated: 24 oct 2016
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