Radial ground states and singular ground states for a spatial-dependent p-Laplace equation

We consider the following equationΔpu(x)+f(u,x)=0, where , n>p>1, and we assume that f is negative for u small and where , so f(u,0) is subcritical and superlinear at infinity. In this paper we generalize the results obtained in a previous paper, [11], where the prototypical nonlinearityf(u,r)=−k1(r)uuq1−2+k2(r)uuq2−2 is considered, with the further restriction 1