E. Mainini, P. Piovano, U. Stefanelli:
Finite crystallization in the square lattice
Nonlinearity Vol. 27, p. 717-737, 2014

P. Piovano:
Evolution of elastic thin films with curvature regularization via minimizing movements
Calc. Var. Partial Differential Equations Vol. 49, p. 337-367, 2014

P. Piovano:
Evolution and Regularity Results for Epitaxially Strained Thin Films and Material Voids
ProQuest; Thesis (Ph.D.)-Carnegie Mellon University 2012, ISBN: 9781267655349 (Phd Thesis) Vol. 74-01(E), N. B, p. 108, 2014

E. Mainini, P. Piovano, U. Stefanelli:
Crystalline and isoperimetric square configurations
(Preprint) 2014

E. Davoli, P. Piovano, U. Stefanelli:
Wulff shape emergence in graphene
Math. Models Methods Appl. Sci. 2016

E. Davoli, P. Piovano, U. Stefanelli:
Sharp $N^{3/4}$ law for the minimizers of the Edge-Isoperimetric Problem on the triangular lattice
Journal of Nonlinear Science 2016

M. Friedrich, P. Piovano, U. Stefanelli:
The geometry of $C_{60}$: a rigorous approach via Molecular Mechanics
SIAM J. Appl. Math. Vol. 76, N. 5, p. 2009-2029, 2016

E. Mainini, H. Murakawa, P. Piovano, U. Stefanelli:
Carbon-nanotube geometries as optimal configurations
Multiscale Model. Simul. Vol. 15, N. 4, p. 1448-1471, 2017

E. Mainini, H. Murakawa, P. Piovano, U. Stefanelli:
Carbon-nanotube geometries: analytical and numerical results
Discrete Contin. Dyn. Syst.-Series S Vol. 10, N. 1, 2017

M. Friedrich, E. Mainini, P. Piovano, U. Stefanelli:
Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule
Arch. Ration. Mech. Anal. 2018

E. Davoli, P. Piovano:
Analytical validation of the Young-Dupré law for epitaxially-strained thin films
M3AS 2018

E. Mainini, P. Piovano, B. Schmidt, U. Stefanelli:
$N^{3/4}$ law in the cubic lattice
J. Stat. Phys. Vol. 176, N. 6, p. 1480-1499, 2019

M. Friedrich, E. Mainini, P. Piovano:
Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review
Rendiconti Sem. Mat. Univ. Pol. Torino Vol. 77, N. 2, p. 79-98, 2019

E. Davoli, P. Piovano:
Derivation of a heteroepitaxial thin-film model
Interfaces and Free Boundaries 2020

S. Kholmatov, P. Piovano:
A unified model for stress-driven rearrangement instabilities
Arch. Ration. Mech. Anal. Vol. 238, p. 415-488, 2020

E. Davoli, M. Kruzik, P. Piovano, U. Stefanelli:
Magnetoelastic thin films at large strains
Continuum Mech. Thermodyn. Vol. 33, p. 327341, 2021

L. Kreutz, P. Piovano:
Microscopic validation of a variational model of epitaxially strained crystalline films
SIAM J. Math. Anal. Vol. 53, N. 1, p. 453-490, 2021

P. Piovano, I. Veli:
Microscopical justification of solid-state wetting and dewetting
J. Nonlinear Sci. Vol. 32, p. 55, 2022

P. Piovano, I. Veli:
Microscopical justification of the Winterbottom problem for well-separated lattices
Nonlinear Analysis Vol. 231, p. 32, 2023

S. Kholmatov, P. Piovano:
Existence of minimizers for the SDRI model in $\mathbb{R}^n$: Wetting and dewetting regimes with mismatch strain
(Submitted Paper) p. 69, 2023

P. Piovano, F. Sapio:
Evolution of crystalline thin films by evaporation and condensation in three dimensions
(Submitted Paper) 2023

R. Llerena, P. Piovano:
Existence of minimizers for a two-phase free boundary problem  with coherent and incoherent interfaces
(Submitted Paper) p. 62, 2023

S. Kholmatov, P. Piovano:
Existence of minimizers for the SDRI model in 2d: wetting and dewetting regime with mismatch strain
Advances in Calculus of Variations p. 52, 2023

R. Llerena, P. Piovano:
Solutions for a free-boundary problem modeling  multilayer films with coherent and incoherent interfaces
(Submitted Paper) p. 27, 2024