@article{FallMinlendRatzkin2022,
  author    = {Fall, Mouhammed Moustapha and Minlend, Ignace Aristide and Ratzkin, Jesse},
  title     = {Foliation of an Asymptotically Flat End by Critical Capacitors},
  series = {The Journal of Geometric Analysis},
  volume    = {32},
  journal   = {The Journal of Geometric Analysis},
  number    = {2},
  issn      = {1559-002X},
  doi       = {10.1007/s12220-021-00746-6},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-269997},
  year      = {2022},
  abstract  = {We construct a foliation of an asymptotically flat end of a Riemannian manifold by hypersurfaces which are critical points of a natural functional arising in potential theory. These hypersurfaces are perturbations of large coordinate spheres, and they admit solutions of a certain over-determined boundary value problem involving the Laplace-Beltrami operator. In a key step we must invert the Dirichlet-to-Neumann operator, highlighting the nonlocal nature of our problem.},
  language  = {en}
}