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arxiv: 1505.03012 · v2 · pith:CVLLWGMFnew · submitted 2015-05-12 · 🧮 math.AP

Energy concentration and a priori estimates for B₂ and G₂ types of Toda systems

classification 🧮 math.AP
keywords systemstodablowupestimatesfinitelocalmasspriori
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For Toda systems with Cartan matrix either $B_2$ or $G_2$, we prove that the local mass of blowup solutions at its blowup points converges to a finite set. Further more this finite set can be completely determined for $B_2$ Toda systems, while for $G_2$ systems we need one additional assumption. As an application of the local mass classification we establish a priori estimates for corresponding Toda systems defined on Riemann surfaces.

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