In this article we consider positive large solution of cooperative systems of the form -∆u1=λ1u1 + a1u1u2q1 -b1(x)u1p1+1, -∆u2=λ2u2 + a2u1q2u2 -b2(x)u2p2+1 in a bounded smooth domain Ω ⊂ RN(λi ∈ R, ai, bi>0, 0 < qi < pj, i, j ∈ {1, 2}, i ≠ j), Based on the construction of certain sup and sub-solution, we show existence, uniqueness and blow-up rate of the large solution.
Ying WANG
,
Mingxin WANG
. BOUNDARY BLOW-UP RATE OF THE LARGE SOLUTION FOR AN ELLIPTIC COOPERATIVE SYSTEM[J]. Acta mathematica scientia, Series B, 2019
, 39(5)
: 1363
-1379
.
DOI: 10.1007/s10473-019-0514-x
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