7 citations · 12 across the 5 of their papers we have counts for
8 papers
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…
Segregated configurations involving the square root of the laplacian and their free boundaries
Daniela De Silva, Susanna Terracini
We study the local structure and the regularity of free boundaries of segregated critical configurations involving the square root of the laplacian. We develop an improvement of fl…
Global solutions to nonlinear two-phase free boundary problems
Daniela De Silva, Ovidiu Savin
We classify global Lipschitz solutions to two-phase free boundary problems governed by concave fully nonlinear equations, as either two-plane solutions or solutions to a one-phase…
Lipschitz regularity of solutions to two-phase free boundary problems
Daniela De Silva, Ovidiu Savin
We prove Lipschitz continuity of viscosity solutions to a class of two-phase free boundary problems governed by fully nonlinear operators.
A fully nonlinear problem with free boundary in the plane
Daniela De Silva, Enrico Valdinoci
We prove that bounded solutions to an overdetermined fully nonlinear free boundary problem in the plane are one dimensional. Our proof relies on maximum principle techniques and co…
Bernstein-type techniques for 2D free boundary graphs
Daniela De Silva
We prove an a-priori bound for the Lipschitz constant of a smooth one-phase free boundary graph F(u) in two dimensions. The function u satisfies a fully nonlinear elliptic equation…