Inserted: 12 dec 2018
Last Updated: 9 mar 2020
Journal: Trans. Amer. Math. Soc.
We prove sharp pointwise decay estimates for critical Dirac equations on ℝn with n≥2. They appear for instance in the study of critical Dirac equations on compact spin manifolds, describing blow-up profiles, and as effective equations in honeycomb structures. For the latter case, we find excited states with an explicit asymptotic behavior. Moreover, we provide some classification results both for ground states and for excited states.