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Positive solutions of nonlinear elliptic equations in unbounded domains in R-2
Journal article   Peer reviewed

Positive solutions of nonlinear elliptic equations in unbounded domains in R-2

H Maagli and L Maatoug
Potential analysis, Vol.19(3), pp.261-279
01/11/2003
DOI: https://doi.org/10.1023/A:1024055625428

Abstract

Mathematics Physical Sciences Science & Technology
We study the existence of positive solutions of the nonlinear equation Deltau+f (., u)=0, in D with u=0 on partial derivativeD, where D is an unbounded domain in R-2 with a compact nonempty boundary partial derivativeD 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.

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