The Plateau problem for marginally outer trapped surfaces

Eichmair, Michael

J. Differential Geom., Tome 81 (2009) no. 2, p. 551-584 / Harvested from Project Euclid

Résumé

We solve the Plateau problem for marginally outer trapped surfaces in general Cauchy data sets. We employ the Perron method and tools from geometric measure theory to force and control a blow-up of Jang’s equation. Substantial new geometric insights regarding the lower order properties of marginally outer trapped surfaces are gained in the process. The techniques developed in this paper are flexible and can be adapted to other non-variational existence problems.

Publié le : 2009-11-15
Classification:

@article{1264601035,
     author = {Eichmair, Michael},
     title = {The Plateau problem for marginally outer trapped surfaces},
     journal = {J. Differential Geom.},
     volume = {81},
     number = {2},
     year = {2009},
     pages = { 551-584},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264601035}
}

Eichmair, Michael. The Plateau problem for marginally outer trapped surfaces. J. Differential Geom., Tome 81 (2009) no. 2, pp.  551-584. http://gdmltest.u-ga.fr/item/1264601035/