A general existence result for the Toda system on compact surfaces
Analysis of PDEs
2015-09-04 v4
Abstract
In this paper we consider the Toda system of equations on a compact surface, which is motivated by the study of models in non-abelian Chern-Simons theory. We prove a general existence result using variational methods. The same analysis applies to a mean field equation which arises in fluid dynamics.
Keywords
Cite
@article{arxiv.1306.5404,
title = {A general existence result for the Toda system on compact surfaces},
author = {Luca Battaglia and Aleks Jevnikar and Andrea Malchiodi and David Ruiz},
journal= {arXiv preprint arXiv:1306.5404},
year = {2015}
}
Comments
28 pages, 1 figure, accepted on Advances in Mathematics