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    A singular Gierer-Meinhardt system of elliptic equations in RN
    (Maltepe Üniversitesi, 2009) Moussaoui, Abdelkrim; Khodja, Brahim; Tas, Saadia
    In this paper, we study the existence and uniqueness of solution of the singular Gierer–Meinhardt system{??u+?(x)u=h1(x)1vq??v+?(x)v=h2(x)urvsu(x),v(x)?0 as |x|??u,v>0in RN(N?3), where ?,?,h1,h2 are given, not necessarily continuous functions, s?]0,1[ and q,r>0 such that r?s?1. We establish the existence of the solution using Schauder’s fixed point theorem.