13 citations · 13 across the 2 of their papers we have counts for
3 papers
math.DG2023
A PDE approach to the existence and regularity of surfaces of minimum mean curvature variation
L. A. Caffarelli, P. R. Stinga, H. Vivas
We develop an analytic theory of existence and regularity of surfaces (given by graphs) arising from the geometric minimization problem $$\min_{\mathcal{M}}\frac{1}{2}\int_{\mathca…
math.AP2017
Optimal regularity and structure of the free boundary for minimizers in cohesive zone models
Luis Caffarelli, Filippo Cagnetti, Alessio Figalli
We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the bou…
math.AP2014★ 13 cited
Fractional elliptic equations, Caccioppoli estimates and regularity
L. A. Caffarelli, P. R. Stinga
Let be a uniformly elliptic operator in divergence form in a bounded domain . We consider the fractional nonlocal equations $$\begin{case…