On <italic>p</italic>-<italic>k</italic>-convex solutions for the <italic>p</italic>-<italic>k</italic>-Hessian system with the gradient term.

AbstractIn this paper, we consider a class of nonlinear <italic>p</italic>-<italic>k</italic>-Hessian systems with the gradient termwhere <italic>γ</italic> > 0, <italic>p</italic> > 1, and 1 ≤ <italic>k</italic> ≤ <italic>N</italic> is an integer. We show some existence, boundedness and blow-up results of the entire positive <italic>p</italic>-<italic>k</italic>-convex radial solutions based on the monotone iterative method. Finally, we present an example to illustrate our result. [ABSTRACT FROM AUTHOR]