W. Borrelli:
Stationary solutions for the 2D critical Dirac equation with Kerr nonlinearity
Journal of Differential Equations (Published paper) 2017
W. Borrelli:
Multiple solutions for a self-consistent Dirac equation in two dimensions
Journal of Mathematical Physics 2018
W. Borrelli:
Weakly localized states for nonlinear Dirac equations
Calc. Var. Partial Differential Equations 2018
W. Borrelli, R. Carlone, L. Tentarelli :
An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity
Symmetry 2019
W. Borrelli, R. Carlone, L. Tentarelli:
Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit
SIAM J. Math. Anal. 2019
W. Borrelli, R. L. Frank:
Sharp decay estimates for critical Dirac equations
Trans. Amer. Math. Soc. 2020
W. Borrelli, A. Maalaoui:
Some properties of Dirac-Einstein bubbles
J. Geom. Anal. 2020
W. Borrelli, P. Briet, D. Krejcirik, T. Ourmieres-Bonafos:
Spectral properties of relativistic quantum waveguides
(Submitted Paper) 2021
W. Borrelli, R. Carlone, L. Tentarelli:
On the nonlinear Dirac equation on noncompact metric graphs
Journal of Differential Equations Vol. 278, 2021
W. Borrelli, R. Carlone, L. Tentarelli:
A note on the Dirac operator with Kirchoff-type vertex conditions on noncompact metric graphs
Springer INdAM Series 2021
W. Borrelli, A. Malchiodi, R. Wu:
Ground state Dirac bubbles and Killing spinors
Commun. Math. Phys. p. 30, 2021
W. Borrelli, V. De Falco:
Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane
Phys. Rev. D Vol. 103, 2021
W. Borrelli, R. Carlone:
Bifurcating standing waves for effective equations in gapped honeycomb structures
Nanosystems: Physics, Chemistry, Mathematics (Proceedings) Vol. 12, N. 1, 2021
W. Borrelli:
Symmetric solutions for a 2D critical Dirac equation
Commun. Contemp. Math. 2021
W. Borrelli:
On the continuum limit for a model of binary waveguide arrays
(Submitted Paper) 2021
W. Borrelli, V. De Falco:
Timescales of the chaos onset in the general relativistic Poynting-Robertson effect
Phys. Rev. D Vol. 103, N. 12, 2021