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- W3045904712 abstract "In this paper, we consider prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in $mathbb{H}^{n+1}$. Under some sufficient condition, we obtain an existence result by the standard degree theory based on the a prior estimates for the solutions to the equations. Different from the prescribed Weingarten curvature problem in space forms, we do not impose a sign condition for radial derivative of the functions in the right-hand side of the equations to prove the existence due to the horo-covexity of hypersurfaces in $mathbb{H}^{n+1}$." @default.
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- W3045904712 date "2020-07-27" @default.
- W3045904712 modified "2023-09-27" @default.
- W3045904712 title "Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in $mathbb{H}^{n+1}$" @default.
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