Positive Radially Symmetric Solution of the Dirichlet Problem for a Nonlinear Elliptic System with $p$-Laplacian

Sufficient conditions for the existence and uniqueness of a positive radially symmetric solution of the Dirichlet problem for a nonlinear elliptic second-order system with $p$-Laplacian are obtained. In addition, it also proved that these conditions guarantee the nonexistence of a global positive radially symmetric solution.