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math.AP2019
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…
math.AP2019
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…