文摘
This paper deals with the quasilinear elliptic systems Δpu=uavb,Δpv=ucve in a smooth bounded domain , with the boundary conditions u=v=+∞ on ∂Ω. The operator Δp stands for the p-Laplacian operator defined by , and the exponents verify and (a−p+1)(e−p+1)>bc. We prove the existence and uniqueness of the positive solution, and obtain the exact blow-up rate near the boundary of the solution.