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

2014/07/31 by D'Aprile, Teresa, Pistoia, Angela, Ruiz, David
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.8407

Abstract

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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