Existence and multiplicity result for the singular Toda system

Abstract

We consider the Toda system on a compact surface. We give existence and multiplicity results, using variational and Morse-theoretical methods. It is the first existence result when some of the coefficients of the singularities are allowed to be negative.

arXiv comment37 pages, 1 figure, accepted on Journal of Mathematical Analysis and Applications

References in corpus (4)

• Self-Dual Chern-Simons Theories
• An improved geometric inequality via vanishing moments, with applications to singular Liouville equations
• A Moser-Trudinger inequality for the singular Toda system
• New blow-up phenomena for SU(n+1) Toda system

Cited by in corpus (6)

• A topological join construction and the Toda system on compact surfaces of arbitrary genus
• A general existence result for the Toda system on compact surfaces
• Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary
• B2 and G2 Toda systems on compact surfaces: a variational approach
• Existence and non-existence results for the SU(3) singular Toda system on compact surfaces
• On number and evenness of solutions of the $SU(3)$ Toda system on flat tori with non-critical parameters