T. Huu

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math.AP2021

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 $F_{k} (R) = lo g (S_{k} (R)),$ whose variables are nonsymmetric matrices, we prove $C^{2, α} (Ω)$ estimates…

math.AP2020

Admissible solutions to augmented nonsymmetric $k -$ Hessian type equations I. The $d -$ concavity of the $k -$ Hessian type functions

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

We establish for $2 \leq k \leq n - 1$ the strict concavity of the function $f_{k} (λ) = lo g (σ_{k} (λ))$ on a subset of the positive cone $Γ_n=\{λ=(λ_{1}, λ_{2}, \cdots,λ_{n})\in \mathbb{R}^n…

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

Admissible solutions to augmented nonsymmetric k−Hessian type equations I. The d−concavity of the k−Hessian type functions

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

Admissible solutions to augmented nonsymmetric $k -$ Hessian type equations I. The $d -$ concavity of the $k -$ Hessian type functions