Calculus of Variations and Geometric Measure Theory

L. Battaglia - A. Malchiodi

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

created by malchiodi on 11 Aug 2015
modified on 04 Jan 2016



Inserted: 11 aug 2015
Last Updated: 4 jan 2016

Year: 2015

Accepted paper: J. Funct. Anal.


We consider the $SU(3)$ Toda system on a compact surface with singular sources. We give both existence and non-existence results under some conditions on the physical parameters $\rho_i$ and on the singular weights $\alpha_{im}$. 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-type identities.