Have appeared on the existence of infinitely many solutions and on the multiplicity of positive solution of dirichlet problem , but only few results on the existence of infinitely many solutions and the multiplicity of positive solution of neumann problem . recently , the remarkable result about neumann problem is the work of zhang guiyi and shen yaotian on the existence of infinitely many solutions of a general critical quasilinear elliptic equation with a nonlinear critical boundary condition 在拟线性椭圆方程的研究中，关于dirichlet问题多解和正解的多重性已经有了相当多的结果，但对neumann问题多解和正解的研究尚不多，近期的主要结果是张桂宜、沈尧天关于临界拟线性椭圆方程及临界增长的neumann问题的多解。
