1 citations · 1 across the 3 of their papers we have counts for
7 papers
Epsilon-regularity for the solutions of a free boundary system
Francesco Paolo Maiale, Giorgio Tortone, Bozhidar Velichkov
This paper is dedicated to a free boundary system arising in the study of a class of shape optimization problems. The problem involves three variables: two functions and , a…
Regularity of shape optimizers for some spectral fractional problems
Giorgio Tortone
This paper is dedicated to the spectral optimization problem $$ \mathrm{min}\left\{λ_1^s(Ω)+\cdots+λ_m^s(Ω) + Λ\mathcal{L}_n(Ω)\colon Ω\subset D \mbox{ s-quasi-open}\right\} $$ whe…
A vectorial problem with thin free boundary
Daniela De Silva, Giorgio Tortone
We consider the vectorial analogue of the thin free boundary problem introduced in \cite{CRS} as a realization of a nonlocal version of the classical Bernoulli problem. We study op…
The nodal set of solutions to some nonlocal sublinear problems
Giorgio Tortone
We study the nodal set of solutions to equations of the form where , and and $…
Improvement of flatness for vector valued free boundary problems
Daniela De Silva, Giorgio Tortone
For a vectorial Bernoulli-type free boundary problem, with no sign assumption on the components, we prove that flatness of the free boundary implies regularity, as well-k…
Regularity results for segregated configurations involving fractional Laplacian
Giorgio Tortone, Alessandro Zilio
We study the regularity of segregated profiles arising from competition - diffusion models, where the diffusion process is of nonlocal type and is driven by the fractional Laplacia…