Vesa Julin

collaborators

2 papers

math.AP2016

Remark on a nonlocal isoperimetric problem

Vesa Julin

We consider isoperimetric problem with a nonlocal repulsive term given by the Newtonian potential. We prove that regular critical sets of the functional are analytic. This optimal…

math.AP2014

Lipschitz regularity for local minimizers of some widely degenerate problems

Pierre Bousquet, Lorenzo Brasco, Vesa Julin

We consider local minimizers of the functional \[ \sum_{i=1}^N \int (|u_{x_i}|-δ_i)^p_+\, dx+\int f\, u\, dx, \] where $δ_{1}, \dots, δ_{N} \geq 0$ and $(\cdot)_{+}$ stands for the posit…