The Neumann problem of Hessian quotient equations

preprint2020arXivOpen access

In this paper, we obtain some important inequalities of Hessian quotient operators, and global $C^2$ estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of $k$ -admissible solutions of the Neumann problem of Hessian quotient equations.

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The Neumann problem of Hessian quotient equations

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