18 citations · 27 across the 7 of their papers we have counts for
4 papers · 2 filters
Bifurcating standing waves for effective equations in gapped honeycomb structures
William Borrelli, Raffaele Carlone
In this paper we deal with two dimensional cubic Dirac equations appearing as effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schröd…
Symmetric solutions for a 2D critical Dirac equation
William Borrelli
In this paper we show the existence of infinitely many symmetric solutions for a cubic Dirac equation in two dimensions, which appears as effective model in systems related to hone…
Some properties of Dirac-Einstein bubbles
William Borrelli, Ali Maalaoui
We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac-Einstein equations on , which appear in the bubbling analysis of conformal D…
Ground state Dirac bubbles and Killing spinors
William Borrelli, Andrea Malchiodi, Ruijun Wu
We prove a classification result for ground state solutions of the critical Dirac equation on , . By exploiting its conformal covariance, the equation can be…