[borrelli]

Assistant Professor, Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore

**Email:** *william.borrelli AT unicatt.it*

- W. Borrelli - P. Briet - D. Krejcirik - T. Ourmieres-Bonafos (Submitted Paper)

Spectral properties of relativistic quantum waveguides (2021) - W. Borrelli - R. Carlone - L. Tentarelli (
*Journal of Differential Equations*)

On the nonlinear Dirac equation on noncompact metric graphs (2021) - W. Borrelli - R. Carlone - L. Tentarelli (
*Springer INdAM Series*)

A note on the Dirac operator with Kirchoff-type vertex conditions on noncompact metric graphs (2021) - W. Borrelli - A. Malchiodi - R. Wu (
*Commun. Math. Phys.*)

Ground state Dirac bubbles and Killing spinors (2021) - W. Borrelli - V. De Falco (
*Phys. Rev. D*)

Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane (2021) - W. Borrelli - R. Carlone (Proceedings:
*Nanosystems: Physics, Chemistry, Mathematics*)

Bifurcating standing waves for effective equations in gapped honeycomb structures (2021) - W. Borrelli (
*Commun. Contemp. Math.*)

Symmetric solutions for a 2D critical Dirac equation (2021) - W. Borrelli (Submitted Paper)

On the continuum limit for a model of binary waveguide arrays (2021) - W. Borrelli - V. De Falco (
*Phys. Rev. D*)

Timescales of the chaos onset in the general relativistic Poynting-Robertson effect (2021) - W. Borrelli - R. Carlone - L. Tentarelli (Submitted Paper)

Complete ionization for a non-autonomous point interaction model in d=2 (2021) - W. Borrelli - S. J. N. Mosconi - M. Squassina (Submitted Paper)

Concavity properties for solutions to $p$-Laplace equations with concave nonlinearities (2021) - W. Borrelli - R. L. Frank (
*Trans. Amer. Math. Soc.*)

Sharp decay estimates for critical Dirac equations (2020) - W. Borrelli - A. Maalaoui (
*J. Geom. Anal.*)

Some properties of Dirac-Einstein bubbles (2020) - W. Borrelli - R. Carlone - L. Tentarelli (
*Symmetry*)

An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity (2019) - W. Borrelli - R. Carlone - L. Tentarelli (
*SIAM J. Math. Anal.*)

Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit (2019) - W. Borrelli (
*Journal of Mathematical Physics*)

Multiple solutions for a self-consistent Dirac equation in two dimensions (2018) - W. Borrelli (
*Calc. Var. Partial Differential Equations*)

Weakly localized states for nonlinear Dirac equations (2018) - W. Borrelli (Published paper:
*Journal of Differential Equations*)

Stationary solutions for the 2D critical Dirac equation with Kerr nonlinearity (2017)

*29 nov 2021 - 3 dec 2021:*Winter school: "Analytical Methods in Quantum and Continuum Mechanics"