Analysis & PDE
- Anal. PDE
- Volume 11, Number 4 (2018), 873-898.
On rank-2 Toda systems with arbitrary singularities: local mass and new estimates
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.
Anal. PDE, Volume 11, Number 4 (2018), 873-898.
Received: 3 November 2016
Revised: 17 August 2017
Accepted: 5 December 2017
First available in Project Euclid: 1 February 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Lin, Chang-Shou; Wei, Jun-cheng; Yang, Wen; Zhang, Lei. On rank-2 Toda systems with arbitrary singularities: local mass and new estimates. Anal. PDE 11 (2018), no. 4, 873--898. doi:10.2140/apde.2018.11.873. https://projecteuclid.org/euclid.apde/1517454157