Abstract: In this paper ,using geometric theory and special test function method, a sufficient condition for the solution of the fusion problem of weak solutions for a class of two order nonhomogeneous quasilinear el-liptic equations is obtained一div A(x,▽u)=B(x,u,Du).

Key words: fusion problem, local Sobolev space, Hö, 1der inequality, two order nonhomogeneous quasilinear elliptic equations, fusion problem, local Sobolev space, Hö, 1der inequality