Abstract: By using the monotonic iterative method, we studied the existence and boundedness of p-k-convex radial solutions for a class of 
p-k-Hessian systems with singular gradient terms, and gave the range estimate of bounded solutions. Under appropriate assumptions about nonlinear terms, we obtained the existence and nonexistence of blow-up solutions, and gave several examples to verify the obtained conclusions.

Key words: p-k-Hessian system, singular gradient term, blow-up solution, nonexistence