Daniela De Silva

activity

20102025

most citedA note on higher regularity boundary Harnack inequality

8 citations · 12 across the 9 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AP2014

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…

math.AP2014★ 3 cited

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 $C^{\infty}$ regularity of the free boundary in the Signori…

math.AP2014★ 8 cited

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 $C^{k, α}$ domain is of class $C^{k, α}$ up to the boundary.