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We solve the Plateau problem for marginally outer trapped surfaces in general Cauchy data sets.
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R. Schoen, S.-T. Yau, The existence of a black hole due to condensation of matter
1983
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L. Simon, Lectures on geometric measure theory
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U. Massari, M. Miranda, Minimal surfaces of codimension one
1984
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G. Galloway, R. Schoen, A generalization of Hawking’s black hole topology theorem to higher dimensions
2006
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J. Metzger, Blowup of Jang’s equation at outermost marginally trapped surfaces
2007
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J. Spruck, Interior gradient estimates and existence theorems for constant mean curvature graphs in M n × ℝ M^{n}\times\mathbb{R}
2007
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P. Chrusciel, D. Pollack, G. Galloway, Mathematical relativity: a sampler
2008
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L. Andersson, J. Metzger, The area of horizons and the trapped regions
2009
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Th. Bourni, An Allard-type 𝒞 1 , α \mathcal{C}^{1,\alpha} regularity theorem
2009
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L. Hauswirth, H. Rosenberg & J. Spruck, InÞnite boundary value problems for constant mean curvature graphs in ℍ 2 × ℝ \mathbb{H}^{2}\times\mathbb{R} and 𝕊 2 × ℝ \mathbb{S}^{2}\times\mathbb{R}
2009
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M.-T. Wang, S.-T. Yau, Isometric embeddings into the Minkowski space and new quasi-local mass
2009
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H. Jenkins, J. Serrin, Variational problems of minimal surface type. III. The Dirichlet problem with inÞnite data
2055
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