S. Bianchini, P. Bonicatto, N. Gusev:
Renormalization for autonomous nearly incompressible BV vector fields in 2D
SIAM Journal on Mathematical Analysis Vol. 48, N. 1, p. 1-33, 2016

S. Bianchini, P. Bonicatto, E. Marconi:
A Lagrangian approach for scalar multidimensional conservation laws
(Preprint) 2017

P. Bonicatto:
Untangling of trajectories for non-smooth vector fields and Bressans Compactness Conjecture
(Phd Thesis) 2017

S. Bianchini, P. Bonicatto:
Failure of the chain rule in the non steady two-dimensional setting
Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg p. 33-60, 2018

P. Bonicatto:
On uniqueness of weak solutions to transport equation with non-smooth velocity field
Theory,  Numerics and Applications of Hyperbolic Problems I (Proceedings) p. 191-203, 2018

S. Bianchini, P. Bonicatto:
Untangling of trajectories for non-smooth vector fields and Bressan's Compactness Conjecture
(Proceedings) 2019

P. Bonicatto:
Uniqueness and non-uniqueness of signed measure-valued solutions to the continuity equation
(Proceedings) 2019

P. Bonicatto, N. Gusev:
Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Vol. 30, N. 3, p. 511-531, 2019

P. Bonicatto, E. Marconi:
Regularity estimates for the flow of BV autonomous divergence free vector fields in $\mathbb{R}^2$
Comm. in Partial Diff. Equations (Accepted Paper) 2019

S. Bianchini, P. Bonicatto:
A uniqueness result for the decomposition of vector fields in $\mathbb R^d$
Inventiones mathematicae (Accepted Paper) 2019

P. Bonicatto, E. Pasqualetto, T. Rajala:
Indecomposable sets of finite perimeter in doubling metric measure spaces
Calc. Var. Partial Differential Equations 2020

P. Bonicatto, G. Del Nin, E. Pasqualetto:
Decomposition of integral metric currents
J. Funct. Anal. Vol. 282, N. 7, 2022

P. Bonicatto, G. Ciampa, G. Crippa:
On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity
J. Math. Pures Appl. Vol. 167, p. 204224, 2022

P. Bonicatto, G. Del Nin, F. Rindler:
Transport of currents and geometric Rademacher-type theorems
Trans. Amer. Math. Soc. Vol. 378, p. 40114075, 2022

P. Bonicatto, N. Gusev:
On the structure of divergence-free measures on $\mathbb R^2$
Adv. Calc. Var. Vol. 15, p. 879911, 2022

A. Arroyo-Rabasa, P. Bonicatto:
A Bourgain-Brezis-Mironescu representation for functions with bounded  deformation
Calc. Var. Partial Differential Equations Vol. 62, 2023

P. Bonicatto, G. Del Nin, F. Rindler:
Existence and uniqueness for the transport of currents by Lipschitz vector fields
J. Funct. Anal. Vol. 286, 2024

A. Arroyo-Rabasa, P. Bonicatto, G. Del Nin:
Local Poincaré constants and mean oscillation functionals for $BV$ functions
Rev. Mat. Iberoam. (Accepted Paper) http://arxiv.org/abs/2402.10794 2024

P. Bonicatto, G. Ciampa, G. Crippa:
Weak and parabolic solutions of advection-diffusion equations with rough velocity field
J. Evol. Equ. p. 24, 2024

P. Bonicatto, F. Rindler:
Homogenization of elasto-plastic evolutions driven by the flow of dislocations
(Submitted Paper) http://arxiv.org/abs/2410.02906 2024

A. Arroyo-Rabasa, P. Bonicatto, G. Del Nin:
Representation of the total variation as a $$-limit of $BMO$-type  seminorms
Indiana Univ. Math. J. Vol. 73, p. 341365, 2024

P. Bonicatto, P. Lahti, E. Pasqualetto:
A topological characterization of indecomposable sets of finite perimeter
(preprint) http://arxiv.org/abs/2512.18319 2025

P. Bonicatto, F. Rindler, H. Turnbull:
The Space-Time Connectivity Theorem for Normal Currents
(Submitted Paper) http://arxiv.org/abs/2510.08360 2025

P. Bonicatto, G. Del Nin:
Well-posedness of the transport of normal currents by time-dependent vector fields
(Submitted Paper) http://arxiv.org/abs/2504.15974 2025

P. Bonicatto:
A general Frobenius' Theorem via the Transport of Currents
(Submitted Paper) http://arxiv.org/abs/2510.21478 2025

P. Bonicatto, G. Ciampa, G. Crippa:
A regularity result for the Fokker-Planck equation with non-smooth drift and diffusion
Nonlinear Anal. Theory Method Appl. Vol. 254, 2025