Radial Solutions of a Supercritical Elliptic Equation with Hardy Potential

Various properties of radial solutions of the supercritical elliptic equation with Hardy Potential {-Delta u + mu u/vertical bar x vertical bar vertical bar(2) = vertical bar u vertical bar(p-2)u in Omega\{0}, u = 0 on partial derivative Omega are studied, where Omega = int{x is an element of R(N) vertical bar a <= vertical bar x vertical bar v b},which is a ball if 0 = a < b < +infinity, an annulus if 0 < a < b < +infinity, an exterior domain if 0 < a < b = +infinity, and the whole space R(N) if a = 0,b = +infinity. We assume p is supercritical, that is, p > 2* with 2* = 2N/N-2 being the critical Sobolev exponent, and N >= 3.