Profile of bubbling solutions to a Liouville system
Resource
Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 27(1), 117-143
Journal
Annales de l'Institut Henri Poincare. Annales
Journal Volume
27
Journal Issue
1
Pages
117-143
Date Issued
2010
Author(s)
Zhang, L.
Abstract
In several fields of Physics, Chemistry and Ecology, some models are described by Liouville systems. In this article we first prove a uniqueness result for a Liouville system in R2. Then we establish a uniform estimate for bubbling solutions of a locally defined Liouville system near an isolated blowup point. The uniqueness result, as well as the local uniform estimates are crucial ingredients for obtaining a priori estimate, degree counting formulas and existence results for Liouville systems defined on Riemann surfaces.
Type
journal article
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