The Neumann Problem for Hessian Equations

Xi-Nan Ma; Guohuan Qiu

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arXiv · 1508.00196

The Neumann Problem for Hessian Equations

Xi-Nan Ma·Guohuan Qiu

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Abstract

In this paper, we prove the existence of a classical solution to a Neumann boundary problem for Hessian equations in uniformly convex domain. The methods depend upon the established of a priori derivative estimates up to second order. So we give a affirmative answer to a conjecture of N. Trudinger in 1986.

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Xi-Nan Ma, Guohuan Qiu. 2015-08-02. The Neumann Problem for Hessian Equations. https://arxiv.org/abs/1508.00196

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