76 citations · 136 across the 32 of their papers we have counts for
6 papers · 1 filter
Non-symmetric stable operators: regularity theory and integration by parts
Serena Dipierro, Xavier Ros-Oton, Joaquim Serra +1
We study solutions to in , being the generator of any, possibly non-symmetric, stable Lévy process. On the one hand, we study the regularity of solu…
New boundary Harnack inequalities with right hand side
Xavier Ros-Oton, Clara Torres-Latorre
We prove new boundary Harnack inequalities in Lipschitz domains for equations with a right hand side. Our main result applies to non-divergence form operators with bounded measurab…
Stable cones in the thin one-phase problem
Xavier Fernández-Real, Xavier Ros-Oton
The aim of this work is to study homogeneous stable solutions to the thin (or fractional) one-phase free boundary problem. The problem of classifying stable (or minimal) homogeneou…
The Neumann problem for the fractional Laplacian: regularity up to the boundary
Alessandro Audrito, Juan-Carlos Felipe-Navarro, Xavier Ros-Oton
We study the regularity up to the boundary of solutions to the Neumann problem for the fractional Laplacian. We prove that if is a weak solution of in , $\mathc…
Sharp quantitative stability for isoperimetric inequalities with homogeneous weights
Eleonora Cinti, Federico Glaudo, Aldo Pratelli +2
We prove the sharp quantitative stability for a wide class of weighted isoperimetric inequalities. More precisely, we consider isoperimetric inequalities in convex cones with homog…
Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian
Simon Eberle, Xavier Ros-Oton, Georg S. Weiss
In this paper we give a full classification of global solutions of the obstacle problem for the fractional Laplacian (including the thin obstacle problem) with compact coincidence…