Existence and uniqueness theorems for star-shaped entire spacelike hypersurfaces with prescribed mean curvature asymptotic to a light cone in L^{m+1}, plus a Willmore inequality and non-existence for L^p mean curvature including compactly supported cases.
Tausch, Then-dimensional least area problem for boundaries on a convex cone, Arch
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Entire spacelike radial graphs with prescribed mean curvature in the Lorentz--Minkowski space
Existence and uniqueness theorems for star-shaped entire spacelike hypersurfaces with prescribed mean curvature asymptotic to a light cone in L^{m+1}, plus a Willmore inequality and non-existence for L^p mean curvature including compactly supported cases.