Admissible solutions to augmented nonsymmetric $k$-Hessian type equations II. A priori estimates and the Dirichlet problem

Bang Tran Van, Ngoan Ha Tien, Tho Nguyen Huu +1

Using the established $d$-concavity of the $k$-Hessian type functions $F_k(R)=\log (S_k(R)),$ whose variables are nonsymmetric matrices, we prove $C^{2,\alpha }(\overline{\Omega })$ estimates…