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arxiv: 1412.6871 · v2 · pith:362P6U5Pnew · submitted 2014-12-22 · 🧮 math.AP

The Dirichlet problem for a class of Hessian type equations

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keywords problemclassdirichletequationsestimateshessiantypeable
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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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