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arxiv: 1407.8407 · v1 · pith:MZ3ICP7Znew · submitted 2014-07-31 · 🧮 math.AP

A continuum of solutions for the SU(3) Toda System exhibiting partial blow-up

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keywords solutionssystemtodablow-upblowingboundarycertaincomponent
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In this paper we consider the so-called Toda System in planar domains under Dirichlet boundary condition. We show the existence of continua of solutions for which one component is blowing up at a certain number of points. The proofs use singular perturbation methods.

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