The Dirichlet problem for −Δφ=e−φ in an infinite sector. Application to plasma equilibria. (June 2015)

• Record Type: Journal Article
• Authors: Goubet, Olivier; Labrunie, Simon
• Is Part Of: Nonlinear analysis. Volume 119(2015)
• Page Start: 115
• Page End: 126
• Publication Date: 2015-06
• Subjects: 35J25 -- 35J91 -- 35B40 -- 35B65 -- 82D10; Nonlinear elliptic equations -- Unbounded domains -- Plasma physics; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.08.015
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: 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.