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
Concentration at the point with hightest mean curvature
with Dario Mazzoleni, Benedetta Pellacci and Gianmaria Verzini
Latest Articles
Regularity for one-phase Bernoulli problems with discontinuous weights and applications
with Bozhidar Velichkov, preprint
A one-sided two phase Bernoulli free boundary problem
with Bozhidar Velichkov, preprint