The Dirichlet problem for $-\Delta \varphi= \mathrm{e}^{-\varphi}$ in an   infinite sector. Application to plasma equilibria
  We consider here a nonlinear elliptic equation in an unbounded sectorial domain of the plane. We prove the existence of a minimal solution to this equation and study its properties. We infer from this analysis some asymptotics for the stationary solution of an equation arising in plasma physics. 
Olivier Goubet (LAMFA), Simon Labrunie (IECN)
math.AP