My main interests are Calculus of Variations and PDEs. At the moment, I am working on the regularity theory for free boundary problems, under the supervision of prof. Bozhidar Velichkov, on geometric/functional inequalities and shape/spectral optimization problems.
In preparation
A Plateau problem with refraction
with Bozhidar Velichkov
Concentration at the point with hightest mean curvature
with Dario Mazzoleni, Benedetta Pellacci and Gianmaria Verzini
Latest Articles
On the fine structure of the solutions to nonlinear thin two-membrane problems in 2D
with Luca Spolaor and Bozhidar Velichkov, preprint
A capillarity one-phase Bernoulli free boundary problem
with Giorgio Tortone and Bozhidar Velichkov, preprint