B2 and G2 Toda systems on compact surfaces: a variational approach

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.

28 pages, accepted on Journal of Mathematical Physics

References in corpus (3)

• Existence and multiplicity result for the singular Toda system
• A Moser-Trudinger inequality for the singular Toda system
• Energy concentration and a priori estimates for $B_2$ and $G_2$ types of Toda systems