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William Borrelli
[borrelli]
Associate Professor, Politecnico di Milano
Email:
william.borrelli
AT
polimi.it
Available papers (24):
[plain text]
W. Borrelli
- U. Morellini (
J. Phys. A: Math. Theor.
)
Global well-posedness in a Hartree-Fock model for graphene
(2025)
W. Borrelli
- M. Correggi - D. Fermi (Accepted Paper:
J. Spectr. Theory
)
Pauli Hamiltonians with an Aharonov-Bohm flux
(2024)
W. Borrelli
- A. Maalaoui - V. Martino (
Calc. Var. PDE
)
Conformal Dirac-Einstein equations on manifolds with boundary
(2023)
W. Borrelli
-
R. Wu
(Submitted Paper)
On the nodal set of solutions to Dirac equations
(2023)
W. Borrelli
- N. Kerraoui - T. Ourmieres-Bonafos (
Quantum Mathematics I - Springer Indam Series
)
Spectral asymptotics for two-dimensional Dirac operators in thin waveguides
(2023)
W. Borrelli
(
NoDEA Nonlinear Differential Equations Appl.
)
On the continuum limit for a model of binary waveguide arrays
(2022)
W. Borrelli
- P. Briet - D. Krejcirik - T. Ourmieres-Bonafos (
Ann. Henri Poincaré
)
Spectral properties of relativistic quantum waveguides
(2022)
W. Borrelli
-
S. J. N. Mosconi
-
M. Squassina
(
Rendiconti Lincei - Matematica e Applicazioni
)
Uniqueness of the critical point for solutions to some p-Laplace equations in the plane
(2022)
W. Borrelli
- R. Carlone -
L. Tentarelli
(
Comm. Math. Phys.
)
Complete ionization for a non-autonomous point interaction model in d=2
(2022)
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
- 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
(
J. 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
-
S. J. N. Mosconi
-
M. Squassina
(
Adv. Calc. Var.
)
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
(
SIAM J. Math. Anal.
)
Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit
(2019)
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
(
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)
Seminars:
3 jun 2019:
Qualitative properties of critical Dirac equations
Speaker:
4 jul 2022 - 8 jul 2022:
Summer School in Analysis and PDE
Organizer:
9 jun 2025 - 13 jun 2025:
Analytical Methods in Quantum and Classical Mechanics
29 nov 2021 - 3 dec 2021:
Winter school: "Analytical Methods in Quantum and Continuum Mechanics"
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