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Existence and asymptotic behavior of positive continuous solutions for a nonlinear elliptic system in the half space

Turki S.

Opuscula Mathematica

2012

Vol. 32, no. 4

783-795

This paper deals with the existence and the asymptotic behavior of positive continuous solutions of the nonlinear elliptic system [formula] in the half space [formula] where α, β ≥ 1and r, s .≥ 0. The functions p and q are required to satisfy some appropriate conditions related to the Kato class [formula]. Our approach is based on potential theory tools and the use of Schauder's fixed point theorem.