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arXiv · 1508.00929

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

Luca Battaglia·Andrea Malchiodi
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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.

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Luca Battaglia, Andrea Malchiodi. 2015-08-04. Existence and non-existence results for the SU(3) singular Toda system on compact surfaces. https://arxiv.org/abs/1508.00929

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