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Free Boundary Problems

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)

Multiphase and Optimal Partition Problems

Spectral and Shape Optimization Problems

Optimal potentials for problems with changing sign data

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

Further topics in Calculus of Variations and PDE

Review articles, proceedings and book chapters

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

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)