Existence and non-existence results for the SU(3) singular Toda system on compact surfaces
Analysis of PDEs
2016-01-29 v2
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.
Keywords
Cite
@article{arxiv.1508.00929,
title = {Existence and non-existence results for the SU(3) singular Toda system on compact surfaces},
author = {Luca Battaglia and Andrea Malchiodi},
journal= {arXiv preprint arXiv:1508.00929},
year = {2016}
}
Comments
41 pages, 9 figures, accepted on Journal of Functional Analysis