Blow-up solutions to a (p,q)(p,q)-Laplacian system with gradient term

In this work, we are mainly concerned with the existence and non-existence of blow-up positive solutions for the nonlinear system Δpu+λ(|x|)|∇u|p−1=ϕ(|x|)f(v),Δqv+μ(|x|)|∇v|q−1=ψ(|x|)g(u) in RNRN. Sufficient conditions for the existence and non-existence of blow-up solutions are established.