2 papers
math.AP2026
A fractional De Giorgi isoperimetric type inequality
Matteo Cozzi, Tomás Sanz-Perela
We establish an isoperimetric type inequality for the level sets of functions in fractional Sobolev spaces. This answers a question posed by the first author in a previous paper. T…
math.AP2023
Elliptic regularization of some semilinear parabolic free boundary problems
Alessandro Audrito, Tomás Sanz-Perela
We prove existence of strong solutions to a family of some semilinear parabolic free boundary problems by means of elliptic regularization. Existence of solutions is obtained in tw…