The mean curvature type hypersurfaces with prescribed gradient image

Jiguang Bao; Rongli Huang; Qinfeng Jiang

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arXiv · 2604.19020

The mean curvature type hypersurfaces with prescribed gradient image

Jiguang Bao·Rongli Huang·Qinfeng Jiang

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Abstract

In this paper, we consider the existence of mean curvature type hypersurfaces with prescribed gradient image. Let $\Omega$ and $\tilde{\Omega}$ be uniformly convex bounded domains in $\mathbb{R}^n$ with smooth boundary. We show that there exists unique convex solutions for the second boundary value problem of mean curvature type equations.

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Jiguang Bao, Rongli Huang, Qinfeng Jiang. 2026-04-21. The mean curvature type hypersurfaces with prescribed gradient image. https://arxiv.org/abs/2604.19020

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