[bonicatto]

Assistant Professor, University of Trento

**Email:** *paolo.bonicatto AT unitn.it*

**orcid id:** 0000-0001-9188-9113

- P. Bonicatto - G. Del Nin - E. Pasqualetto (
*J. Funct. Anal.*)

Decomposition of integral metric currents (2022) - P. Bonicatto - G. Del Nin - F. Rindler (preprint)

Transport of currents and geometric Rademacher-type theorems (2022) - A. Arroyo-Rabasa - P. Bonicatto (preprint)

A Bourgain-Brezis-Mironescu representation for functions with bounded deformation (2021) - A. Arroyo-Rabasa - P. Bonicatto - G. Del Nin (Accepted Paper:
*Indiana Univ. Math. J.*)

Representation of the total variation as a $Γ$-limit of $BMO$-type seminorms (2021) - S. Bianchini - P. Bonicatto (Proceedings)

Untangling of trajectories for non-smooth vector fields and Bressan's Compactness Conjecture (2019) - P. Bonicatto - E. Pasqualetto - T. Rajala (Preprint)

Indecomposable sets of finite perimeter in doubling metric measure spaces (2019) - P. Bonicatto (Proceedings)

Uniqueness and non-uniqueness of signed measure-valued solutions to the continuity equation (2019) - P. Bonicatto - N. Gusev (
*Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.*)

Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow (2019) - P. Bonicatto - N. Gusev (Submitted Paper)

On the structure of divergence-free measures on $\mathbb R^2$ (2019) - S. Bianchini - P. Bonicatto (Accepted Paper:
*Inventiones mathematicae*)

A uniqueness result for the decomposition of vector fields in $\mathbb R^d$ (2019) - P. Bonicatto - E. Marconi (Accepted Paper:
*Comm. in Partial Diff. Equations*)

Regularity estimates for the flow of BV autonomous divergence free vector fields in $\mathbb{R}^2$ (2019) - S. Bianchini - P. Bonicatto (
*Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg*)

Failure of the chain rule in the non steady two-dimensional setting (2018) - P. Bonicatto (Proceedings:
*Theory, Numerics and Applications of Hyperbolic Problems I*)

On uniqueness of weak solutions to transport equation with non-smooth velocity field (2018) - S. Bianchini - P. Bonicatto - E. Marconi (Preprint)

A Lagrangian approach for scalar multidimensional conservation laws (2017) - P. Bonicatto (Phd Thesis)

Untangling of trajectories for non-smooth vector fields and Bressan’s Compactness Conjecture (2017) - S. Bianchini - P. Bonicatto - N. Gusev (
*SIAM Journal on Mathematical Analysis*)

Renormalization for autonomous nearly incompressible BV vector fields in 2D (2016)

*18 may 2021:*Decomposition of integral metric currents

*17 jun 2024 - 21 jun 2024:*Geometric Measure Theory and applications 2024*5 jun 2023 - 9 jun 2023:*Vito Volterra Meeting 2023 in Calculus of Variations*14 sep 2022 - 15 sep 2022:*Another Pisan workshop in Geometric Analysis

*25 mar 2024 - 28 mar 2024:*M&M's - Measures and Materials Workshop*8 jul 2019 - 10 jul 2019:*GMT and PDEs in Basel – A young researchers meeting