On the influence of gradient terms on the existence of solutions to Dirichlet problem for the $p$-Laplace equation

We consider the Dirichlet problem for the inhomogeneous $p$-Laplace equation with a nonlinear source and gradient term. The goal of the paper is to study the influence of the gradient term on the existence of radially symmetric solutions. Sufficient conditions for the existence of such solutions are given in explicit form through the data of the problem.