Existence of radial solutions for p-Laplacian elliptic equations with weights

Using the definition of solution and the qualitative properties established in the recent paper of Pucci et al, some existence results are obtained both for crossing radial solutions and for positive or compactly supported radial ground states in R^n of quasilinear singular or degenerate elliptic equations with weights and with non-linearities which can be possibly singular at x=0 and u=0, respectively. Furthermore we obtain a non-existence theorem for radial ground states using a technique of Ni and Serrin.