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The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space

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In this paper, we obtain the interior gradient estimate of the Hessian quotient curvature equation in the hyperbolic space. The method depends on the maximum principle. Click to show full abstract

In this paper, we obtain the interior gradient estimate of the Hessian quotient curvature equation in the hyperbolic space. The method depends on the maximum principle.

Keywords: quotient curvature; interior gradient; gradient estimate; curvature equation; hessian quotient; equation hyperbolic

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2021

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