Preprint

Inserted: 11 aug 2015
Last Updated: 4 jan 2016

Year: 2015
Notes:

Accepted paper: J. Funct. Anal.

Abstract:

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.

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• todasing.pdf