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Starshaped compact hypersurfaces with prescribed $k$-th mean curvature in hyperbolic space

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  • In this paper we consider the problem of finding a star-shaped compact hypersurface with prescribed $k$-th mean curvature in hyperbolic space. Under some sufficient conditions, we obtain an existence result by establishing a priori estimates and using degree theory arguments.
    Mathematics Subject Classification: Primary: 53C42; Secondary: 35J60.

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