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arXiv · 1402.2347

On the Dirichlet problem for a class of augmented Hessian equations

Feida Jiang·Neil S. Trudinger·Xiao-Ping Yang
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Abstract

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 [11] from the Monge-Ampere type equations to the more general Hessian type equations.

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Feida Jiang, Neil S. Trudinger, Xiao-Ping Yang. 2014-02-11. On the Dirichlet problem for a class of augmented Hessian equations. https://arxiv.org/abs/1402.2347

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