The paper proves existence, uniqueness, W^{2,2} regularity and uniform space-likeness for the prescribed Lorentzian mean curvature problem with homogeneous capillary boundary condition on convex domains.
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Free boundary space-like graphs with prescribed mean curvature
The paper proves existence, uniqueness, W^{2,2} regularity and uniform space-likeness for the prescribed Lorentzian mean curvature problem with homogeneous capillary boundary condition on convex domains.