4 citations · 4 across the 2 of their papers we have counts for
2 papers
math.AP2008★ 4 cited
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…
math.AP2006
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…