32 citations · 254 across the 68 of their papers we have counts for
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math.AP2013
Minimization of a fractional perimeter-Dirichlet integral functional
Luis Caffarelli, Ovidiu Savin, Enrico Valdinoci
We consider a minimization problem that combines the Dirichlet energy with the nonlocal perimeter of a level set, namely $$ \int_\Om |\nabla u(x)|^2\,dx+\Per\Big(\{u > 0\},\Om \Big…
math.AP2013
A localization theorem and boundary regularity for a class of degenerate Monge Ampere equations
Ovidiu Savin
We consider degenerate Monge-Ampere equations of the type $$\det D^2 u= f \quad \{in $\Om$}, \quad \quad f \sim \, d_{\p \Om}^α\quad \{near $\p \Om$,}$$ where $d_{\p \Om}$ represen…
math.AP2013
On boundary Hölder gradient estimates for solutions to the linearized Monge-Ampère equations
Nam Q. Le, Ovidiu Savin
In this paper, we establish boundary Hölder gradient estimates for solutions to the linearized Monge-Ampère equations with () right hand side and b…