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arXiv · 1412.6871

The Dirichlet problem for a class of Hessian type equations

Heming Jiao·Tingting Wang
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Abstract

We are concerned with the Dirichlet problem for a class of Hessian type equations. Applying some new methods we are able to establish the $C^2$ estimates for an approximating problem under essentially optimal structure conditions. Based on these estimates, the existence of classical solutions is proved.

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Heming Jiao, Tingting Wang. 2014-12-22. The Dirichlet problem for a class of Hessian type equations. https://arxiv.org/abs/1412.6871

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