8 citations · 12 across the 5 of their papers we have counts for
8 papers · 1 filter
Two-phase problems: Perron solutions and regularity of the Neumann problem in convex cones
Thomas Beck, Daniela De Silva, Ovidiu Savin
We investigate a fully nonlinear two-phase free boundary problem with a Neumann boundary condition on the boundary of a general convex set with corners. We…
An energy model for harmonic functions with junctions
Daniela De Silva, Ovidiu Savin
We consider an energy model for harmonic graphs with junctions and study the regularity properties of minimizers and their free boundaries.
Almost minimizers for a sublinear system with free boundary
Daniela De Silva, Seongmin Jeon, Henrik Shahgholian
We study vector-valued almost minimizers of the energy functional $$\int_D\left(|\nabla\mathbf{u}|^2+\frac2{1+q}\left(λ_+(x)|\mathbf{u}^+|^{q+1}+λ_-(x)|\mathbf{u}^-|^{q+1}\right)\r…
Inhomogeneous global minimizers to the one-phase free boundary problem
Daniela De Silva, David Jerison, Henrik Shahgholian
Given a global 1-homogeneous minimizer to the Alt-Caffarelli energy functional, with , we provide a foliation of the half-space $\R^{n} \times [0,+\inft…
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…