Nonlinear Dirac equation on graphs with localized nonlinearities: bound states and nonrelativistic limit W Borrelli, R Carlone, L Tentarelli
SIAM Journal on Mathematical Analysis 51 (2), 1046-1081, 2019
35 2019 On the nonlinear Dirac equation on noncompact metric graphs W Borrelli, R Carlone, L Tentarelli
Journal of Differential Equations 278, 326-357, 2021
23 2021 Stationary solutions for the 2D critical Dirac equation with Kerr nonlinearity W Borrelli
Journal of Differential Equations 263 (11), 7941-7964, 2017
20 2017 Sharp decay estimates for critical Dirac equations W Borrelli, R Frank
Transactions of the American Mathematical Society 373 (3), 2045-2070, 2020
19 2020 Weakly Localized States for Nonlinear Dirac Equations W Borrelli
Calculus of Variations and Partial Differential Equations 57 (no. 6), 2018
18 2018 An overview on the standing waves of nonlinear Schroedinger and Dirac equations on metric graphs with localized nonlinearity W Borrelli, R Carlone, L Tentarelli
Symmetry, Special Issue “Symmetries of Nonlinear PDEs on Metric Graphs and …, 2019
15 2019 Multiple solutions for a self-consistent Dirac equation in two dimensions W Borrelli
Journal of Mathematical Physics 59 (4), 2018
14 2018 Spectral properties of relativistic quantum waveguides W Borrelli, P Briet, D Krejčiřík, T Ourmieres-Bonafos
Annales Henri Poincaré 23 (11), 4069-4114, 2022
13 2022 Ground state Dirac bubbles and Killing spinors W Borrelli, A Malchiodi, R Wu
Communications in Mathematical Physics 383 (2), 1151-1180, 2021
11 2021 A note on the Dirac operator with Kirchoff-type vertex conditions on metric graphs W Borrelli, R Carlone, L Tentarelli
Mathematical Challenges of Zero-Range Physics: Models, Methods, Rigorous …, 2021
9 2021 Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane V De Falco, W Borrelli
Physical Review D, 2021
8 2021 Concavity properties for solutions to p -Laplace equations with concave nonlinearities W Borrelli, S Mosconi, M Squassina
Advances in Calculus of Variations 17 (1), 79-97, 2024
6 2024 Symmetric solutions for a 2D critical Dirac equation W Borrelli
Communications in Contemporary Mathematics 24 (04), 2150019, 2022
6 2022 Some properties of Dirac–Einstein bubbles W Borrelli, A Maalaoui
The Journal of Geometric Analysis 31 (6), 5766-5782, 2021
6 2021 Timescales of the chaos onset in the general relativistic Poynting-Robertson effect V De Falco, W Borrelli
Physical Review D 103 (12), 124012, 2021
5 2021 Conformal Dirac–Einstein equations on manifolds with boundary. W Borrelli, A Maalaoui, V Martino
Calculus of Variations and Partial Differential Equations 62 (1), 18, 2023
3 2023 Uniqueness of the critical point for solutions to some W Borrelli, S Mosconi, M Squassina
arXiv preprint arXiv:2201.12788, 2022
2 2022 Complete ionization for a non-autonomous point interaction model in d= 2 W Borrelli, R Carlone, L Tentarelli
arXiv preprint arXiv:2108.06564, 2021
2 2021 Pauli Hamiltonians with an Aharonov-Bohm Flux W Borrelli, M Correggi, D Fermi
arXiv preprint arXiv:2312.11971, 2023
1 2023 Spectral asymptotics for two-dimensional Dirac operators in thin waveguides W Borrelli, N Kerraoui, T Ourmières-Bonafos
INdAM Meeting: Quantum Mathematics Workshop, 165-182, 2022
1 2022 
raffaele carloneDipartimento di Matematica ed Applicazioni "R. Caccioppoli", Università degli Studi di NapoliAdresse e-mail validée de unina.it
