On a nonlocal elliptic problem arising in the magnetic confinement of a plasma in a Stellarator

Abstract

This paper is a review of recent results (including the author's work) on a two-dimensional free-boundary problem, modeling magnetohydrodynamic equilibrium in a stellarator nuclear fusion device. The main tools used in the paper under review are decreasing rearrangement (applied to the magnetic flux) and relative rearrangement (with respect to the magnetic flux)