Sharp decay estimates for critical Dirac equations

William Borrelli, Rupert L. Frank

Risultato della ricerca: Contributo in rivistaArticolo in rivista

6 Citazioni (Scopus)

Abstract

We prove sharp pointwise decay estimates for critical Dirac equations on $ mathbb{R}^n$ with $ ngeq 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.
Lingua originaleEnglish
pagine (da-a)2045-2070
Numero di pagine26
RivistaTransactions of the American Mathematical Society
Volume373
DOI
Stato di pubblicazionePubblicato - 2019

Keywords

  • critical Dirac equations

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