On nondegeneracy of solutions to \(SU(3)\) Toda system

DOI10.1016/j.crma.2010.11.025zbMath1216.35025OpenAlexW1524335319MaRDI QIDQ627750

Chunyi Zhao, Feng Zhou, Wei, Juncheng

Publication date: 3 March 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.11.025

zbMATH Keywords

Toda systemnondegenerate solution

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Second-order elliptic systems (35J47)

Related Items (12)

On Non-topological Solutions of the 𝐴₂ and 𝐵₂ Chern-Simons System ⋮ Sharp estimates for fully bubbling solutions of a \(\mathrm{SU}(3)\) Toda system ⋮ Asymptotic behavior of SU(3) Toda system in a bounded domain ⋮ Degree counting and shadow system for Toda system of rank two: one bubbling ⋮ Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources ⋮ Nonradial entire solutions for Liouville systems ⋮ Classification of the entire radial self-dual solutions to non-abelian Chern-Simons systems ⋮ On a general \(\mathrm{SU}(3)\) Toda system ⋮ Local profile of fully bubbling solutions to \(\mathrm {SU} (n+1)\) Toda systems ⋮ Nondegeneracy of harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\) ⋮ A non-variational system involving the critical Sobolev exponent. The radial case ⋮ On Toda system with Cartan matrix $G_2$

Cites Work

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• Blow-up analysis for \(SU(3)\) Toda system
• Some existence results for the Toda system on closed surfaces
• Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
• Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
• Self-Dual Chern-Simons Theories
• Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions

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