The Domain Geometry and the Bubbling Phenomenon of Rank Two Gauge Theory

Hsin-Yuan Huang; Lei Zhang

doi:10.1007/s00220-016-2685-9

The Domain Geometry and the Bubbling Phenomenon of Rank Two Gauge Theory

Hsin-Yuan Huang ^*, Lei Zhang

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let Ω be a flat torus and G be the Green’s function of - Δ on Ω. One intriguing mystery of G is how the number of its critical points is related to blowup solutions of certain PDEs. In this article we prove that for the following equation that describes a Chern–Simons model in Gauge theory:(Formula Presented.),if fully bubbling solutions of Liouville type exist, G has exactly three critical points. In addition we establish necessary conditions for the existence of fully bubbling solutions with multiple bubbles.

Original language	English
Pages (from-to)	393-424
Number of pages	32
Journal	Communications in Mathematical Physics
Volume	349
Issue number	1
DOIs	https://doi.org/10.1007/s00220-016-2685-9
State	Published - 1 Jan 2017

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The Domain Geometry and the Bubbling Phenomenon of Rank Two Gauge Theory

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