J. Serra

activity

20112021

s

-minimal cones in

R^{3}

are flat for

s \sim 1

4 citations · 8 across the 8 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

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…