Gradient estimation for the oblique boundary value problem of degenerate Hessian quotient equations
The oblique boundary value problem of degenerate Hessian quotient equations is studied.By choosing an appropriate auxiliary function,utilizing the maximum principle and the properties of basic symmetric functions,the global gradient estimation of the solution of the equation when f depends on x and Du is obtained under f1/k-l ∈ C1((Ω)×(R)n)and general structural conditions.