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 upat 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.
Asymmetric blow-up for the SU(3) Toda system / D'Aprile, Teresa; Pistoia, Angela; Ruiz, David. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 271:3(2016), pp. 495-531. [10.1016/j.jfa.2016.04.007]
Asymmetric blow-up for the SU(3) Toda system
PISTOIA, Angela;
2016
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 upat 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 allegati a questo prodotto
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