Abstract

AbstractThis paper shows the existence, uniqueness, and boundary blow‐up rate of large solution of cooperative systems of the form in a bounded smooth domain Ω⊂RN, bi(x) is nonnegative weight function that can be singular on ∂Ω, and the exponents verify λi∈R,ai>0,pi>1,qi>0 for i=1,2, and q1q2<p1p2.

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