29 citations · 161 across the 22 of their papers we have counts for
5 papers · 2 filters
Perron's solutions for two-phase free boundary problems with distributed sources
Daniela De Silva, Fausto Ferrari, Sandro Salsa
We use Perron method to construct a weak solution to a two-phase free boundary problem with right-hand-side. We thus extend the results of the pioneer work of Caffarelli for the ho…
Boundary Harnack estimates in slit domains and applications to thin free boundary problems
Daniela De Silva, Ovidiu Savin
We provide a higher order boundary Harnack inequality for harmonic functions in slit domains. As a corollary we obtain the regularity of the free boundary in the Signori…
A note on higher regularity boundary Harnack inequality
Daniela De Silva, Ovidiu Savin
We show that the quotient of two positive harmonic functions vanishing on the boundary of a domain is of class up to the boundary.
regularity of certain thin free boundaries
Daniela De Silva, Ovidiu Savin
We continue our study of the free boundary regularity in the thin one-phase problem and show that free boundaries are smooth.
A one-phase problem for the fractional Laplacian: regularity of flat free boundaries
Daniela De Silva, Ovidiu Savin, Yannick Sire
We consider a one-phase free boundary problem involving a fractional Laplacian , and we prove that ``flat free boundaries" are . We thus extend the known…