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20172024
most citedInterior and up to the boundary regularity for the fractional -Laplacian: the convex case

4 citations · 7 across the 12 of their papers we have counts for

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math.AP2017

Higher-order boundary regularity estimates for nonlocal parabolic equations

Xavier Ros-Oton, Hernan Vivas

We establish sharp higher-order Hölder regularity estimates up to the boundary for solutions to equations of the form in where $I\subset\mathbb{…

math.AP2017

The two membranes problem for fully nonlinear operators

Luis Caffarelli, Luis Duque, Hernan Vivas

We study the two membranes problem for two different fully nonlinear operators. We give a viscosity formulation for the problem and prove existence of solutions. Then we prove a ge…