Ivochkina, NinaTrudinger, NeilWang, Xu-Jia2015-12-130360-5302http://hdl.handle.net/1885/78986In this paper, we study the Dirichlet problem for a class of fully nonlinear degenerate elliptic equations which depend only on the eigenvalues of the Hessian matrix. We provide a new and simpler approach to the estimation of second derivatives, through differentiation with respect to vector fields with skew-symmetric Jacobians.Keywords: Degenerate Hessian equations; Dirichlet problem; Second derivative estimates20042015-12-11