Infinitely many positive solutions for the nonlinear Schrodinger equations in RN

We consider the following nonlinear problem in R-N - Delta u + V(vertical bar y vertical bar) u = u(p), u > 0 in R-N, u is an element of H-1(R-N), 0.1 where V(r) is a positive function, 1 < p < N+2/N-2. We show that if V(r) has the following expansion: V(r) = V-0 + a/r(m) + O(1/r(m+theta)), as r -> +infinity, where a > 0, m > 1, theta > 0, and V-0 > 0 are some constants, then (0.1) has infinitely many non-radial positive solutions, whose energy can be made arbitrarily large.