The Neumann Problem of Complex Hessian Quotient Equations

In this paper, we consider the Neumann problem of complex Hessian quotient equations sigma(k)(partial derivative(partial derivative) over baru)/sigma(l)(partial derivative(partial derivative) over baru) = f(z) with 0 <= l < k <= n and establish the global C-1 estimates and reduce the global 2nd derivative estimate to the estimate of double normal 2nd derivatives on the boundary. In particular, we can prove the global C-2 estimates and the existence theorem for the Neumann problem of complex Hessian quotient equations sigma(n)(partial derivative(partial derivative) over baru)/sigma(l)(partial derivative(partial derivative) over baru)= f(z) with 0 <= l < n by the method of continuity.