%0 Journal Article %T The Dirichlet problem for $-жд\varphi= \mathrm{e}^{-\varphi}$ in an infinite sector. Application to plasma equilibria %A Olivier Goubet %A Simon Labrunie %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1408.6945v1