We consider the SU(3) singular Toda system on a compact surface (σ, g), where hiare smooth positive functions on σ, ρi∈R+, pm∈σ and αim>-1.We give both existence and non-existence results under some conditions on the parameters ρiand αim. 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 Pohožaev-type identities.

Battaglia, L., & Malchiodi, A. (2016). Existence and non-existence results for the SU(3) singular Toda system on compact surfaces. JOURNAL OF FUNCTIONAL ANALYSIS, 270(10), 3750-3807 [10.1016/j.jfa.2015.12.011].

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

Battaglia, Luca;Malchiodi, Andrea
2016

Abstract

We consider the SU(3) singular Toda system on a compact surface (σ, g), where hiare smooth positive functions on σ, ρi∈R+, pm∈σ and αim>-1.We give both existence and non-existence results under some conditions on the parameters ρiand αim. 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 Pohožaev-type identities.
Battaglia, L., & Malchiodi, A. (2016). Existence and non-existence results for the SU(3) singular Toda system on compact surfaces. JOURNAL OF FUNCTIONAL ANALYSIS, 270(10), 3750-3807 [10.1016/j.jfa.2015.12.011].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/330864
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