32 citations · 254 across the 68 of their papers we have counts for
7 papers · 1 filter
C^{2,α}$ regularity of flat free boundaries for the thin one-phase problem
Daniela De Silva, Ovidiu Savin
We prove 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…
Boundary regularity for solutions to the linearized Monge-Ampère equations
Nam Le, Ovidiu Savin
We obtain boundary Holder gradient estimates and regularity for solutions to the linearized Monge-Ampere equations under natural assumptions on the domain, Monge-Ampere measures an…
Some minimization problems in the class of convex functions with prescribed determinant
Nam Le, Ovidiu Savin
We consider minimizers of linear functionals of the type $$L(u)=\int_{\p Ω} u \, d σ- \int_Ω u \, dx$$ in the class of convex functions with prescribed determinant $\det D^2 u…
Local and global minimizers for a variational energy involving a fractional norm
Giampiero Palatucci, Enrico Valdinoci, Ovidiu Savin
We study existence, unicity and other geometric properties of the minimizers of the energy functional where denotes the tota…
Density estimates for a nonlocal variational model via the Sobolev inequality
Ovidiu Savin, Enrico Valdinoci
We consider the minimizers of the energy with , where denotes the total contribution from in the nor…
Global estimates for the Monge-Ampere equation
Ovidiu Savin
We obtain global estimates for the Monge-Ampere equation under natural assumptions on the domain and boundary data.