Energy concentration and a priori estimates for B₂ and G₂ types of Toda systems

2015/05/12 by Chang‐Shou Lin, Chang-shou Lin, Lei Zhang +2 · 1 citation
Mathematics · Physics and Astronomy · #35J47 #35J60 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #math.AP #msc:35J47 #msc:35J60

paper · pdf · doi:10.48550/arxiv.1505.03012

26 pages

openalex publication_date 2015/05/12 · arxiv created 2015/05/18 · arxiv updated 2015/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For Toda systems with Cartan matrix either B₂ or G₂, we prove that the local mass of blowup solutions at its blowup points converges to a finite set. Further more this finite set can be completely determined for B₂ Toda systems, while for G₂ systems we need one additional assumption. As an application of the local mass classification we establish a priori estimates for corresponding Toda systems defined on Riemann surfaces.

Citations

• A Moser-Trudinger inequality for the singular Toda system

Cited by

• B2 and G2 Toda systems on compact surfaces: a variational approach

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