Interior Hessian estimates for a class of Hessian type equations

In this paper, we introduce some Hessian operators σ _k (η ) and σ _k (η )/σ _l (η ) by a self-adjoint mapping and the corresponding convex cone Γ _k , and derive interior a priori Hessian estimates for the equation σ _k (η )/σ _l (η )= f(x) in Γ _k with 0 ≤ l更多