Local profile of fully bubbling solutions to SU(n+1) Toda Systems
Analysis of PDEs
2015-05-27 v3
Abstract
In this article we prove that for locally defined singular SU(n+1) Toda systems in R^2, the profile of fully bubbling solutions near the singular source can be accurately approximated by global solutions. The main ingredients of our new approach are the classification theorem of Lin-Wei-Ye and the non-degeneracy of the linearized Toda system, which make us overcome the difficulties that come from the lack of symmetry and the singular source.
Keywords
Cite
@article{arxiv.1308.1579,
title = {Local profile of fully bubbling solutions to SU(n+1) Toda Systems},
author = {Chang-Shou Lin and Juncheng Wei and Lei Zhang},
journal= {arXiv preprint arXiv:1308.1579},
year = {2015}
}
Comments
25 pages