We consider the so-called Toda system in a smooth planar domain under homogeneous Dirichlet boundary conditions. We prove the existence of a continuum of solutions for which both components blow up at the same point. This blow-up behavior is asymmetric, and moreover one component includes also a certain global mass. The proof uses singular perturbation methods.
D'Aprile, T.c., Pistoia, A., Ruiz, D. (2016). Asymmetric blow-up for the SU(3) Toda system. JOURNAL OF FUNCTIONAL ANALYSIS, 271(3), 495-531 [10.1016/j.jfa.2016.04.007].
Asymmetric blow-up for the SU(3) Toda system
D'APRILE, TERESA CARMEN;
2016-01-01
Abstract
We consider the so-called Toda system in a smooth planar domain under homogeneous Dirichlet boundary conditions. We prove the existence of a continuum of solutions for which both components blow up at the same point. This blow-up behavior is asymmetric, and moreover one component includes also a certain global mass. The proof uses singular perturbation methods.File in questo prodotto:
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