In this note, we consider blow-up for solutions of the SU(3) Toda system on a compact surface σ. In particular, we give a complete proof of the compactness result stated by Jost, Lin and Wang in [11] and we extend it to the case of singularities. This is a necessary tool to find solutions through variational methods.

Battaglia, L., Mancini, G. (2015). Partial Differential Equation - A note on compactness properties of the singular Toda system. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 26(3), 299-307 [10.4171/RLM/708].

Partial Differential Equation - A note on compactness properties of the singular Toda system

Battaglia, Luca;Mancini, Gabriele
2015-01-01

Abstract

In this note, we consider blow-up for solutions of the SU(3) Toda system on a compact surface σ. In particular, we give a complete proof of the compactness result stated by Jost, Lin and Wang in [11] and we extend it to the case of singularities. This is a necessary tool to find solutions through variational methods.
2015
Battaglia, L., Mancini, G. (2015). Partial Differential Equation - A note on compactness properties of the singular Toda system. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 26(3), 299-307 [10.4171/RLM/708].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/330869
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