Infinitely many positive solutions for the nonlinear Shcrodinger equations in $R^N$

We consider the following nonlinear problem in ${\mathbb{R}}^N$ $$\text{label}eq-\mathrm{\Delta }u+V(\mathrm{\mid }y\mathrm{\mid })u=u^p,u>0in{\mathbb{R}}^N,u\in H^1({\mathbb{R}}^N)$$ where $V(r)$ is a positive function, $1<p<\frac{N+2}{N-2}$. We show that if $V(r)$ has the following expansion: There are constants $a>0$, $m>1$, $\theta >0$, and $V_0>0$, such that $$V(r)=V_0+\frac{a}{r^m}+O\left(\frac{1}{r^{m+\theta }}\right),\text{as }r\to +\mathrm{\infty }\text{,}$$ then \eqref{eq} has {\bf infinitely many non-radial positive} solutions, whose energy can be made arbitrarily large.