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20172022
most citedStationary solutions for the 2D critical Dirac equation with Kerr nonlinearity

18 citations · 27 across the 4 of their papers we have counts for

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math.AP2018

Sharp decay estimates for critical Dirac equations

William Borrelli, Rupert L. Frank

We prove sharp pointwise decay estimates for critical Dirac equations on with . They appear for instance in the study of critical Dirac equations on compact…

math.AP2018

Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit

William Borrelli, Raffaele Carlone, Lorenzo Tentarelli

In this paper we study the nonlinear Dirac (NLD) equation on noncompact metric graphs with localized Kerr nonlinearities, in the case of Kirchhoff-type conditions at the vertices.…

math.AP2018

Weakly localized states for nonlinear Dirac equations

William Borrelli

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 dimen…