Existence Of Weak Solutions For A Class Of Nonlinear Elliptic Equations

In this paper we study the existence of weak solutions for nonlinear elliptic prob-lem involving an operator of the divergence form with a(x, u,â–½u). First, we work on the Dirichlet problem of the formThen, on the base of that, we work on the equation with Neumann boundary condition and prove the existence of weak solutions.