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arxiv: 1410.4991 · v2 · pith:SO3KOMYLnew · submitted 2014-10-18 · 🧮 math.AP

A note on compactness properties of the singular Toda system

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keywords compactnessnotesolutionssystemtodablow-upcasecompact
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In this note, we consider blow-up for solutions of the SU(3) Toda system on a compact surface \Sigma. In particular, we give a complete proof of the compactness result stated by Jost, Lin and Wang and we extend it to the case of singularities. This is a necessary tool to find solutions through variational methods.

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