Vanishing Estimates for Fully Bubbling Solutions of SU (n + 1) Toda Systems at a Singular Source

Author:

Zhang Lei1

Affiliation:

1. Department of Mathematics, University of Florida, 358 Little Hall, P.O.Box, Gainesville, FL, USA

Abstract

AbstractFor Gauss curvature equation (or more general Toda systems) defined on 2D spaces, the vanishing rate of certain curvature functions on blowup points is a key estimate for numerous applications. However, if these equations have singular sources, very few vanishing estimates can be found. In this article we consider a Toda system with singular sources defined on a Riemann surface and we prove a very surprising vanishing estimates and a reflection phenomenon for certain functions involving the Gauss curvature.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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1. Estimates of bubbling sequences of SU(3)$SU(3)$ Toda systems at critical parameters: Part 2;Journal of the London Mathematical Society;2023-04-12

2. Vanishing estimates for Liouville equation with quantized singularities;Proceedings of the London Mathematical Society;2022-01

3. Estimates for Liouville equation with quantized singularities;Advances in Mathematics;2021-03

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