Calculus of Variations and Geometric Measure Theory
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W. Borrelli - R. L. Frank

Sharp decay estimates for critical Dirac equations

created by borrelli on 12 Dec 2018

[BibTeX]

Submitted Paper

Inserted: 12 dec 2018
Last Updated: 12 dec 2018

Year: 2018

ArXiv: 1809.01417 PDF

Abstract:

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.

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