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arxiv: 1512.07566 · v4 · pith:RSS3BMYKnew · submitted 2015-12-23 · 🧮 math.AP

B2 and G2 Toda systems on compact surfaces: a variational approach

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keywords systemscompactsomesurfacestodavariationalapproachassumption
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We consider the B2 and G2 Toda systems on compact surfaces. We attack the problem using variational techniques. We get existence and multiplicity of solutions under a topological assumption on the surface and some generic conditions on the parameters. We also extend some of the results to the case of general systems.

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