B2 and G2 Toda systems on compact surfaces: a variational approach
Analysis of PDEs
2017-01-24 v4
Abstract
We consider the B2 and G2 Toda systems on compact surfaces. We attack the problem using variational techniques. We get existence and multiplicity of solutions under a topological assumption on the surface and some generic conditions on the parameters. We also extend some of the results to the case of general systems.
Cite
@article{arxiv.1512.07566,
title = {B2 and G2 Toda systems on compact surfaces: a variational approach},
author = {Luca Battaglia},
journal= {arXiv preprint arXiv:1512.07566},
year = {2017}
}
Comments
28 pages, accepted on Journal of Mathematical Physics