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., 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

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.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - Analisi Matematica
English
Con Impact Factor ISI
Toda system; Blowing-up solutions; Finite-dimensional reduction
http://www.elsevier.com/inca/publications/store/6/2/2/8/7/9/index.htt
D'Aprile, T., 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].
D'Aprile, Tc; Pistoia, A; Ruiz, D
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/184418
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