Existence and non-existence results for the SU(3) singular Toda system on compact surfaces

Abstract

We consider the SU(3) Toda system on a compact surface. We give both existence and non-existence results under some conditions on the parameters. Existence results are obtained using variational methods, which involve a geometric inequality of new type; non-existence results are obtained using blow-up analysis and localized Pohozaev identities.

41 pages, 9 figures, accepted on Journal of Functional Analysis

References in corpus (3)

• Existence and multiplicity result for the singular Toda system
• A Moser-Trudinger inequality for the singular Toda system
• Moser-Trudinger inequalities for singular Liouville systems