Abstract
For all rank-2 Toda systems with an arbitrary singular source, we use a unified approach to prove:
The pair of local masses at each blowup point has the expression where , , .
At each vortex point if are integers and , then all the solutions of Toda systems are uniformly bounded.
If the blowup point is a vortex point and and are linearly independent over , then
The Harnack-type inequalities of 3 are important for studying the bubbling behavior near each blowup point.
Citation
Chang-Shou Lin. Jun-cheng Wei. Wen Yang. Lei Zhang. "On rank-2 Toda systems with arbitrary singularities: local mass and new estimates." Anal. PDE 11 (4) 873 - 898, 2018. https://doi.org/10.2140/apde.2018.11.873
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