Jiang, Feida; Trudinger, Neil; Yang, Xiao-Ping
In this paper, we consider the Dirichlet problem for a new class of augmented Hessian equations. Under sharp assumptions that the matrix function in the augmented Hessian is regular and there exists a smooth subsolution, we establish global second order derivative estimates for the solutions to the Dirichlet problem in bounded domains. The results extend the corresponding results in the previous paper  from the Monge-Ampère type equations to the more general Hessian type equations.
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