• Epsilon-regularity for the solutions of a free boundary system.
(with Francesco Paolo Maiale and Giorgio Tortone)

• Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries. (with Guido De Philippis, Max Engelstein, Luca Spolaor)

• Regularity of the optimal sets for the second Dirichlet eigenvalue. (with Dario Mazzoleni and Baptiste Trey, Ann. Inst. H. Poincaré Anal. Non Linéaire, to appear)

• Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality. (with François Générau and Edouard Oudet)

• A two-phase problem with Robin conditions on the free boundary.
(with Serena Guarino Lo Bianco and Domenico Angelo La Manna,
Journal de l’École polytechnique — Mathématiques 2021)

• Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem (with Maria Colombo and Luca Spolaor, Interfaces and Free Boundaries 2021)

• Regularity of the one-phase free boundaries (Lecture notes)

• Existence and regularity of optimal shapes for elliptic operators with drift
(with Emmanuel Russ and Baptiste Trey, Calc. Var. PDE 2019)

• Free boundary regularity for a multiphase shape optimization problem
(with Luca Spolaor and Baptiste Trey, Comm. PDE 2020)

• On the asymptotic behavior of the solutions to parabolic variational inequalities
(with Maria Colombo and Luca Spolaor, J. reine agnew. Math. 2020)

• Regularity of the free boundary for the vectorial Bernoulli problem
(with Dario Mazzoleni and Susanna Terracini, Anal. PDE 2020)

• Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional
(with Max Engelstein and Luca Spolaor, Duke Math. J. 2020)

• (Log-)Epiperimetric Inequality and Regularity over Smooth Cones for Almost Area-Minimizing Currents (with Max Engelstein and Luca Spolaor, Geom. Topol. 2019)

• Direct epiperimetric inequalities for the thin obstacle problem and applications
(with Maria Colombo and Luca Spolaor, Comm. Pure Appl. Math. 2019)

• A logarithmic epiperimetric inequality for the obstacle problem
(with Maria Colombo and Luca Spolaor, GAFA - Geom. Funct. Anal. 2018)

• An epiperimetric inequality for the regularity of some free boundary problems: the 2-dimensional case (with Luca Spolaor, Comm. Pure Appl. Math. 2018)

• Regularity of the optimal sets for some spectral functionals

(with Dario Mazzoleni and Susanna Terracini, GAFA - Geom. Funct. Anal. 2017)

• Regularity of minimizers of shape optimization problems involving perimeter

(with Guido De Philippis, Jimmy Lamboley, Michel Pierre, J. Math. Pures Appl. 2018)

• A free boundary problem arising in PDE optimization

(with Giuseppe Buttazzo and Edouard Oudet, Calc.Var.PDE 2016)

• Lipschitz Regularity of the Eigenfunctions on Optimal Domains

(with Dorin Bucur, Dario Mazzoleni and Aldo Pratelli, Arch. Rat. Mech. Anal. 2015)

• Existence and Regularity for Spectral Optimization Problems with Perimeter Constraint (with Guido De Philippis, Appl. Math. Optim. 2014)

• A Note on the Monotonicity Formula of Caffarelli-Jerison-Kenig

(Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat.Appl. 2014)

• On the honeycomb conjecture for a class of minimal convex partitions (with Dorin Bucur, Ilaria Fragalà and Gianmaria Verzini, Trans. Amer. Math. Soc. 2018)

• Multiphase Optimization Problems for Eigenvalues: Qualitative Properties and Numerical Results (with Beni Bogosel , SIAM Numerical Analysis 2016)

• Multiphase Shape Optimization Problems

(with Dorin Bucur, SIAM J. Control Optim. 2014)

• Shape optimization problems in control form.
(with Giuseppe Buttazzo and Francesco Paolo Maiale).

• Optimal potentials for problems with changing sign data

(with Giuseppe Buttazzo and Faustino Maestre, J. Optim. Theory Appl. 2018)

• A shape optimal control problem with changing sign data

(with Giuseppe Buttazzo, SIAM J. Math. Anal. 2018)

• Worst-case shape optimization for the Dirichlet energy

(with J. C. Bellido and Giuseppe Buttazzo, Nonlinear Analysis 2016)

• Spectral Optimization Problems for Potentials and Measures

(with Dorin Bucur and Giuseppe Buttazzo, SIAM J. Math. Anal. 2014 )

• Optimal Potentials for Schrodinger Operators (with Giuseppe Buttazzo, Augusto Gerolin and Berardo Ruffini, Journal de l'École Polytechnique 2014)

• Shape Optimization Problems for Metric Graphs

(with Giuseppe Buttazzo and Berardo Ruffini, ESAIM: COCV 2014)

• Spectral Optimization Problems with Internal Constraint

(with Dorin Bucur and Giuseppe Buttazzo, Ann.Inst.H.P. 2013)

• Shape Optimization Problems on Metric Measure Spaces

(with Giuseppe Buttazzo, J.Funct.Anal. 2013)

• Numerical Calibration of Steiner trees

(with Annalisa Massaccesi and Edouard Oudet, Appl. Math. Optim. 2017)

• BV estimates in optimal transportation and applications

(with Guido De Philippis, Alpar Meszaros and Filippo Santambrogio, Arch. Rat. Mech. Anal. 2015)

• Faber-Krahn inequalities in sharp quantitative form

(with Lorenzo Brasco and Guido De Philippis, Duke Math. J. 2015)

• Spectral optimization problems for Schrödinger operators (with Giuseppe Buttazzo, Chapter 9 from the book Shape Optimization and Spectral Theory, De Gruyter 2017)

• The spectral drop problem
(with Giuseppe Buttazzo, Contemporary mathematics 666, 2016)

• A free boundary approach to shape optimization problems

(with Dorin Bucur, Philosophical Transactions of the Royal Society of London A 2015)

• Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity (with Giuseppe Buttazzo and Michiel van den Berg, Chapter from the book New Trends in Shape Optimization 2015)

• Some New Problems in Spectral Optimization

(with Giuseppe Buttazzo, Banach Center Publications 2014)