Discrete and Continuous Dynamical Systems - Series A (DCDS-A)

Sharp estimates for fully bubbling solutions of $B_2$ Toda system

Pages: 1759 - 1788, Volume 36, Issue 4, April 2016      doi:10.3934/dcds.2016.36.1759

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Weiwei Ao - Department of Mathematics, University of British Columbia, Vancouver, B.C., V6T 1Z2, Canada (email)

Abstract: In this paper, we obtain sharp estimates of fully bubbling solutions of the $B_2$ Toda system in a compact Riemann surface. Our main goal in this paper are (i) to obtain sharp convergence rate, (ii) to completely determine the location of bubbles, (iii) to derive the $\partial_z^2$ condition.

Keywords:  Toda system, convergence rate, sharp estimates, classification of solution, bubbling solutions.
Mathematics Subject Classification:  Primary: 35J47; Secondary: 35J60.

Received: January 2015;      Revised: May 2015;      Available Online: September 2015.