Spacelike hypersurfaces with prescribed boundary values and mean curvature |
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| Authors: | Robert Bartnik Leon Simon |
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| Institution: | (1) Department of Mathematics, Princeton University, 08544 Princeton, NJ, USA;(2) Department of Mathematics, Australian National University, 2600 Canberra, A.C.T., Australia |
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| Abstract: | We consider the boundary-value problem for the mean curvature operator in Minkowski space, and give necessary and sufficient conditions for the existence of smooth strictly spacelike solutions. Our main results hold for non-constant mean curvature, and make no assumptions about the smoothness of the boundary or boundary data. |
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