Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

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

[BibTeX]

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.


Download:

Credits | Cookie policy | HTML 4.0.1 strict | CSS 2.1