Daniela De Silva

activity

20062026

most citedMinimizers of Convex Functionals Arising in Random Surfaces

29 citations · 161 across the 22 of their papers we have counts for

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Showing 2011 · math.APShow all

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math.AP2011

C^{2,α}$ regularity of flat free boundaries for the thin one-phase problem

Daniela De Silva, Ovidiu Savin

We prove $C^{2, α}$ regularity of sufficiently flat free boundaries, for the thin one-phase problem in which the free boundary occurs on a lower dimensional subspace. This problem a…

math.AP2011★ 28 cited

Regularity in a one-phase free boundary problem for the fractional Laplacian

Daniela De Silva, Jean-Michel Roquejoffre

For a one-phase free boundary problem involving a fractional Laplacian, we prove that "flat free boundaries" are $C^{1, α}$ . We recover the regularity results of Caffarelli for visc…