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On existence of spacelike surfaces with prescribed boundary

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References

  1. Barbashov B. M. andNesterenko V. V., “Superstrings: A new approach to the theory of fundamental interactions,” Uspekhi Fiz. Nauk,150, No. 4, 489–524 (1986).

    Google Scholar 

  2. Bartnik R. andSimon L., “Spacelike hypersurfaces with prescribed boundary values and mean curvature,” Comm. Math. Phys.,87, No. 1, 131–152 (1982).

    Article  MATH  Google Scholar 

  3. Quien N., “Plateau’s problem in Minkowski space,” Analysis, R. Oldenbourg Verlag, Munchen, No. 5, 43–60 (1985).

    Google Scholar 

  4. Klyachin A. A. andMiklyukov V. M., “Traces of functions with spacelike graphs and a problem of extension under constraints on the gradient,” Mat. Sb.,183, No. 7, 49–64 (1992).

    MATH  Google Scholar 

  5. Beem J. K. andEhrlich P. E., Global Lorentzian Geometry [Russian translation], Mir, Moscow (1985).

    Book  Google Scholar 

  6. Dubrovin B. A., Novikov S. P., andFomenko A. T., Modern Geometry [in Russian], Nauka, Moscow (1985).

    MATH  Google Scholar 

  7. Gol’dshteîn V. M. andReshetnyak Yu. G., An Introduction to the Theory of Functions with Generalized Derivatives and the Quasiconformal Mappings [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  8. Rockafellar R. T., Convex Analysis [Russian translation], Mir, Moscow (1973).

    MATH  Google Scholar 

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Volgograd. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 5, pp. 1039–1045, September–October, 2000.

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Grigor’eva, E.G. On existence of spacelike surfaces with prescribed boundary. Sib Math J 41, 849–854 (2000). https://doi.org/10.1007/BF02674740

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  • DOI: https://doi.org/10.1007/BF02674740

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