Xavier Ros-Oton

most citedThe Dirichlet problem for the fractional Laplacian: regularity up to the boundary

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2013

Sharp isoperimetric inequalities via the ABP method

Xavier Cabre, Xavier Ros-Oton, Joaquim Serra

We prove some old and new isoperimetric inequalities with the best constant using the ABP method applied to an appropriate linear Neumann problem. More precisely, we obtain a new f…

math.AP2012

Euclidean balls solve some isoperimetric problems with nonradial weights

Xavier Cabre, Xavier Ros-Oton, Joaquim Serra

In this note we present the solution of some isoperimetric problems in open convex cones of $R^{n}$ in which perimeter and volume are measured with respect to certain nonradial weig…

math.AP2012★ 3 cited

The Dirichlet problem for the fractional Laplacian: regularity up to the boundary

Xavier Ros-Oton, Joaquim Serra

We study the regularity up to the boundary of solutions to the Dirichlet problem for the fractional Laplacian. We prove that if $u$ is a solution of $(- Δ)^{s} u = g$ in $Ω$ , $u \equi…