@article{LammMetzger2013,
  author    = {Lamm, Tobias and Metzger, Jan},
  title     = {Minimizers of the willmore functional with a small area constraint},
  series = {ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE},
  volume    = {30},
  journal   = {ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE},
  number    = {3},
  publisher = {Elsevier},
  address   = {Paris},
  issn      = {0294-1449},
  doi       = {10.1016/j.anihpc.2012.10.003},
  pages     = {497 -- 518},
  year      = {2013},
  abstract  = {We show the existence of a smooth spherical surface minimizing the Willmore functional subject to an area constraint in a compact Riemannian three-manifold, provided the area is small enough. Moreover, we partially classify complete surfaces of Willmore type with positive mean curvature in Riemannian three-manifolds.},
  language  = {en}
}