The Neumann problem for degenerate Hessian quotient equations.

In this paper, we prove the existence of the C 1 , 1 -solution to the classical Neumann problem for the degenerate elliptic Hessian quotient equation σ k (D 2 u) σ l (D 2 u) = f (x) under the condition that f 1 k − l ∈ C 2 (Ω ¯). [ABSTRACT FROM AUTHOR]