2 papers
math.AP2023
A capillarity one-phase Bernoulli free boundary problem
Lorenzo Ferreri, Giorgio Tortone, Bozhidar Velichkov
We consider a one-phase Bernoulli free boundary problem in a container - a smooth open subset of - under the condition that on the fixed boundary th…
math.AP2023
On the dimension of the singular set in optimization problems with measure constraint
Dario Mazzoleni, Giorgio Tortone, Bozhidar Velichkov
In this paper, we prove estimates on the dimension of the singular part of the free boundary for solutions to shape optimization problems with measure constraints. The focus is on…