Existence For Solutions Of Some Neumann Problems For Elliptic Equations

By means of variational approach,the paper is concerned with existence for solutions of some Neumann problems for elliptic equations,and some existence theorems are obtained,which extend and improve some present results.The paper has five parts: 1.Preliminary.2.Existence for solutions of Neumann boundary value problem for sub-linear elliptic equation.3.Existence for solutions of Neumann boundary value problem for elliptic equation under Landesman-Lazer condition.4.Existence for solutions of Neumann boundary value problem for sub-quadratic elliptic equation.5.Existence for solutions of Neumann boundary value problem for non-quadretic elliptic equation.