The Dirichlet problem for $-\Delta \varphi= \mathrm{e}^{-\varphi}$ in an infinite sector. Application to plasma equilibria
| Autor: | Goubet, Olivier, Labrunie, Simon |
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| Rok vydání: | 2014 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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