The constant mean curvature hypersurfaces with prescribed gradient image

Rongli Huang, Dayan Wei, Yunhua Ye

In this paper, we consider the existence of constant mean curvature hypersurfaces with prescribed gradient image. Let $\hat{I}\text{c◯}$ and $\tilde{\hat{I}}\text{c◯}$ be uniformly convex bounded domains in $\m…