Energy Concentration and A Priori Estimates forB2andG2Types of Toda Systems

DOI10.1093/IMRN/RNV304zbMath1404.35158arXiv1505.03012OpenAlexW2963195381MaRDI QIDQ4560499

Chang-Shou Lin, Lei Zhang

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03012

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Blow-up in context of PDEs (35B44) PDEs on manifolds (35R01)

Related Items (11)

Degree counting formula for non-symmetric Toda systems of rank two ⋮ A priori estimates for \(D_4\) and \(F_4\) Toda systems ⋮ On rank-2 Toda systems with arbitrary singularities: local mass and new estimates ⋮ B 2 and G2 Toda systems on compact surfaces: A variational approach ⋮ Sharp estimates for solutions of mean field equations with collapsing singularity ⋮ A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects ⋮ A unified approach of blow-up phenomena for two-dimensional singular Liouville systems ⋮ Degree counting and shadow system for Toda system of rank two: one bubbling ⋮ Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities ⋮ Degree counting for Toda system with simple singularity: one point blow up ⋮ Sharp estimate for the critical parameters of \(SU(3)\) Toda system with arbitrary singularities. I

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