Estimates of bubbling solutions of $SU(3)$ Toda systems at critical parameters-Part 2
Analysis of PDEs
2022-06-17 v1
Abstract
In this article we study bubbling solutions of regular Toda systems defined on a Riemann surface. There are two major difficulties corresponding to the profile of bubbling solutions: partial blowup phenomenon and bubble accumulation. We prove that when both parameters tend to critical positions, if there is one fully bubbling blowup point, then under one curvature assumption, all the blowup solutions near a blowup point satisfy a spherical Harnack inequality, which completely rules out the bubble-accumulation phenomenon. This fact is crucial for a number of applications.
Keywords
Cite
@article{arxiv.2206.08114,
title = {Estimates of bubbling solutions of $SU(3)$ Toda systems at critical parameters-Part 2},
author = {Juncheng Wei and Lina Wu and Lei Zhang},
journal= {arXiv preprint arXiv:2206.08114},
year = {2022}
}
Comments
42 pages. arXiv admin note: text overlap with arXiv:2202.10825