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Positive Solutions of Nonlinear Elliptic Equations in Unbounded Domains in R 2 |
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| Authors: | Mâagli Habib Mâatoug Lamia |
| Institution: | (1) Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire 1060, Tunis, Tunisia |
| Abstract: | We study the existence of positive solutions of the nonlinear equation  u+f( ,u)=0, in D with u=0 on  D, where D is an unbounded domain in R
2 with a compact nonempty boundary D consisting of finitely many Jordan curves. The aim is to prove an existence result for the above equation in a general setting by using potential theory. |
| Keywords: | Green function positive solution Kato class nonlinear elliptic equation Kelvin transformation Schauder fixed point theorem |
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