F. Solombrino:
Quasistatic evolution problems for nonhomogeneous elastic plastic materials
Journal of convex analysis  Vol. 16, N. 1, p. 89-119, 2009

F. Solombrino:
Rescaled viscosity solutions of a quasistatic evolution problem in non-associative plasticity
(Ph.D. Thesis) 2010

G. Dal Maso, F. Solombrino:
Quasistatic evolution for Cam-Clay plasticity: the spatially homogeneous case
Netw. Heterog. Media Vol. 5, p. 97-132, 2010

F. Solombrino:
Quasistatic evolution for plasticity with softening: the spatially homogeneous case
Discrete Contin. Dyn. Syst. Ser. A. Vol. 27, N. 3, p. 1189-1217, 2010

G. Dal Maso, A. DeSimone, F. Solombrino:
Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling
Calc Var PDEs Vol. 40, N. 1-2, p. 125-181, 2011

G. Dal Maso, A. DeSimone, F. Solombrino:
Quasistatic evolution for Cam-Clay plasticity: properties of the viscosity solution
Calc Var PDEs Vol. 3-4, N. 495-541, p. 44, 2012

M. Fornasier, R. March, F. Solombrino:
Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data
Annali di Matematica Pura e Applicata Vol. 192, N. 3, p. 361-391, 2013

M. Artina, M. Fornasier, F. Solombrino:
Linearly constrained nonsmooth and nonconvex minimization
SIAM J. Optim. Vol. 23, N. 3, p. 1904-1937, 2013

M. Fornasier, F. Solombrino:
Mean Field Optimal Control
ESAIM: Control, Optimization and Calculus of Variations 2014

F. Solombrino:
Quasistatic evolution in perfect plasticity for general heterogeneous materials.
Arch. Rat. Mech. Anal. Vol. 212, N. 1, p. 283-330, 2014

M. Cicalese, F. Solombrino:
Frustrated ferromagnetic spin chains: a variational approach to chirality transitions
Journal of Nonlinear Science Vol. 25, N. 2, p. 291-313, 2015

A. Braides, M. Cicalese, F. Solombrino:
Q-tensor continuum energies as limits of head-to-tail symmetric spins systems
SIAM J. Math. Anal. Vol. 47, N. 4, p. 2832-2867 , 2015

F. Solombrino:
A-priori time regularity estimates and a simplified proof of existence in perfect plasticity
Mathematische Nachrichten 2015

M. Cicalese, M. Ruf, F. Solombrino:
Chirality transitions in frustrated $S^{2}$-valued spin systems
Mathematical Models and Methods in Applied Sciences  Vol. 26, N. 08, p. 1481-1529, 2016

M. Cicalese, M. Ruf, F. Solombrino:
Hemihelical local minimizers in prestrained elastic bi-strips
Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Vol. 68, N. 6, p. 122, 2017

M. Artina, F. Cagnetti, M. Fornasier, F. Solombrino:
Linearly Constrained Evolutions of Critical Points and an Application to Cohesive Fractures
Mathematical Models and Methods in Applied Sciences  Vol. 27, N. 02, p. 231-290, 2017

M. Bongini, M. Fornasier, F. Rossi, F. Solombrino:
Mean-field Pontryagin Maximum Principle
Journal of  Optimization Theory and Applications Vol. 175, N. 1, p. 1-38, 2017

M. Cicalese, M. Ruf, F. Solombrino:
On global and local minimizers of prestrained thin elastic rods
Calc. Var Pdes Vol. 56, N. 4, p. 115, 2017

M. Friedrich, F. Solombrino:
Quasistatic crack growth in 2d-linearized elasticity
Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire Vol. 35, N. 1, p. 28--64, 2018

G. Scilla, F. Solombrino:
Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach
Nonlinearity Vol. 31, N. 11, p. 5036-5074, 2018

G. Scilla, F. Solombrino:
Delayed loss of stability in singularly perturbed finite-dimensional gradient flows
Asymptot. Anal. Vol. 110, N. 1-2, p. 1-19, 2018

G. Albi, M. Bongini, F. Rossi, F. Solombrino:
Leader formation with mean-field birth and death models
Mathematical Models and Methods in Applied Sciences Vol. 29, N. 4, p. 633--679, 2019

G. Scilla, F. Solombrino:
A variational approach to the quasistatic limit of viscous dynamic evolutions in finite dimension
J. Differential Equations Vol. 267, p. 6216-6264, 2019

M. Friedrich, F. Solombrino:
Functionals defined on piecewise rigid functions: Integral representation and $\Gamma$-convergence
Archive for Rational Mechanics and Analysis Vol. 236, p. 1325--1387, 2020

M. Morandotti, F. Solombrino:
Mean-field analysis of multi-population dynamics with label switching
SIAM J. Math. Anal. Vol. 52, N. 2, p. 14271462, 2020

V. Crismale, G. Scilla, F. Solombrino:
A derivation of Griffith functionals from discrete finite-difference models
Calc. Var. Partial Differential Equations Vol. 59, N. 6, p. 193, 2020

V. Crismale, M. Friedrich, F. Solombrino:
Integral representation for  energies  in linear elasticity  with surface discontinuities
Advances in Calculus of Variations 2020

G. Scilla, F. Solombrino:
Non-local approximation of the Griffith functional
NoDEA Nonlinear Differential Equations Appl. Vol. 28, p. Art. 17, 2021

M. Friedrich, M. Perugini, F. Solombrino:
Lower semicontinuity  for functionals defined  on piecewise rigid functions and on $GSBD$
Journal of Functional Analysis Vol. 280, N. 7, p. 108929, 2021

S. Almi, M. Morandotti, F. Solombrino:
A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games
Journal of Evolution Equations p. 34, 2021

F. Farroni, G. Scilla, F. Solombrino:
On some non-local approximation of nonisotropic Griffith-type functionals
Math. Eng. Vol. 4, N. 4, p. 1-22, 2022

G. Lazzaroni, R. Molinarolo, F. Solombrino:
Radial solutions for a dynamic debonding model in dimension two
Nonlinear Anal. Vol. 219, N. 112822, 2022

G. Albi, S. Almi, M. Morandotti, F. Solombrino:
Mean-field selective optimal control via transient leadership
Applied Mathematics and Optimization Vol. 85, p. Art. n. 9, 2022

F. Riva, G. Scilla, F. Solombrino:
The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems
Adv. Calc. Var. Vol. 6, N. 4, p. 903-934, 2022

S. Almi, C. D'Eramo, M. Morandotti, F. Solombrino:
Mean-field limits for entropic multi-population dynamical systems
Milan Journal of Mathematics p. 38, 2023

S. Almi, M. Caponi, M. Friedrich, F. Solombrino:
Geometric rigidity on Sobolev spaces with variable exponent and applications
(Preprint) 2023

R. Marziani, F. Solombrino:
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
Proceedings of the Royal Society Edinburgh Sect. A p. 35, 2023

S. Almi, M. Morandotti, F. Solombrino:
Optimal control problems in transport dynamics with additive noise
Journal of Differential Equations Vol. 373, p. 1-47, 2023

C. Leone, G. Scilla, F. Solombrino, A. Verde:
Regularity of minimizers for free-discontinuity problems with $p(\cdot)$-growth
ESAIM: Control, Optimisation and Calculus of Variations Vol. 29, p. 78, 2023

S. Almi, D. Reggiani, F. Solombrino:
Brittle membranes in finite elasticity
Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) Vol. 103, N. 11, p. 29, 2023

F. Riva, G. Scilla, F. Solombrino:
Inertial Balanced Viscosity (IBV) solutions to infinite-dimensional rate-independent systems
(Preprint) 2023

G. Di Fratta, F. Solombrino:
Korn and Poincaré-Korn inequalities: A different perspective
(Submitted Paper) 2023

G. Scilla, F. Solombrino, B. Stroffolini:
Integral representation and $\Gamma$-convergence for free-discontinuity problems with $p(\cdot)$-growth
Calculus of Variations and Partial Differential Equations Vol. 62, N. 213, 2023

G. Lazzaroni, R. Molinarolo, F. Riva, F. Solombrino:
On the wave equation on moving domains: regularity, energy balance and  application to dynamic debonding
Interfaces Free Bound. Vol. 25, N. 3, p. 401-454, 2023

S. Almi, D. Reggiani, F. Solombrino:
Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity
(Preprint) 2023

G. Ascione, D. Castorina, F. Solombrino:
Mean field sparse optimal control of systems with additive white noise
Siam Journal on Mathematical Analysis Vol. 55, N. 6, p. 6965-6990, 2023

M. Friedrich, M. Perugini, F. Solombrino:
$$-convergence for free-discontinuity problems in linear  elasticity: Homogenization and relaxation
Indiana University Mathematics Journal Vol. 72, N. 5, p. 1949--2023, 2023

S. Almi, D. Reggiani, F. Solombrino:
Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth
Calculus of Variations and Partial Differential Equations Vol. 63, N. 1, p. art. 24, 2024

S. Almi, R. Durastanti, F. Solombrino:
A Pontryagin Maximum Principle for agent-based models with convex state space
(Preprint) 2024