Profile of bubbling solutions to a Liouville system

By Changshou Lin, Lei Zhang. 2009

66 citations recorded by the source corpus.

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 R 2 . 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.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/00c0d0bd6e187ecabae9eccb4bf673bd97c0f05b

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In Applied Mathematics

1. Jun-cheng Wei
2. D. Ye
3. Changshou Lin
4. A. Malchiodi
5. Manuel del Pino
6. Shusen Yan
7. Lei Zhang
8. Shuangjie Peng

In Modeling and Simulation

1. Jun-cheng Wei
2. D. Ye
3. Changshou Lin

Citations in the corpus

• Classification and nondegeneracy of SU(n+1) Toda system with singular sources (2011, background): “For the generalized Liouville system, see [26] and [27].”