Weakly localized states for nonlinear Dirac equations

William Borrelli

Risultato della ricerca: Contributo in rivistaArticolo in rivista

9 Citazioni (Scopus)


We prove the existence of infinitely many non square-integrable stationary solutions for a family of massless Dirac equations in 2D. They appear as effective equations in two dimensional honeycomb structures. We give a direct existence proof thanks to a particular radial ansatz, which also allows to provide the exact asymptotic behavior of spinor components. Moreover, those solutions admit a variational characterization as least action critical points of a suitable action functional. We also indicate how the content of the present paper allows to extend our previous results for the massive case [5] to more general nonlinearities.
Lingua originaleEnglish
pagine (da-a)N/A-N/A
RivistaCalculus of Variations and Partial Differential Equations
Stato di pubblicazionePubblicato - 2018


  • critical Dirac equations


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