We consider the B2and G2Toda systems on a compact surface (Σ,g), namely, systems of two Liouville-type PDEs coupled with a matrix of coefficients A = or . We attack the problem using variational techniques, following the previous work [Battaglia, L. et al., Adv. Math. 285, 937-979 (2015)] concerning the A2Toda system, namely, the case A = . We get the existence and multiplicity of solutions as long as Ï(Σ) ⤠0 and a generic choice of the parameters. We also extend some of the results to the case of general systems.
Battaglia, L. (2017). B2and G2Toda systems on compact surfaces: A variational approach. JOURNAL OF MATHEMATICAL PHYSICS, 58(1), 011506 [10.1063/1.4974774].
B2and G2Toda systems on compact surfaces: A variational approach
Battaglia, Luca
2017-01-01
Abstract
We consider the B2and G2Toda systems on a compact surface (Σ,g), namely, systems of two Liouville-type PDEs coupled with a matrix of coefficients A = or . We attack the problem using variational techniques, following the previous work [Battaglia, L. et al., Adv. Math. 285, 937-979 (2015)] concerning the A2Toda system, namely, the case A = . We get the existence and multiplicity of solutions as long as Ï(Σ) ⤠0 and a generic choice of the parameters. We also extend some of the results to the case of general systems.| File | Dimensione | Formato | |
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