Minimizers of the willmore functional with a small area constraint
- 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.
| Author details: | Tobias Lamm, Jan Metzger |
|---|---|
| DOI: | https://doi.org/10.1016/j.anihpc.2012.10.003 |
| ISSN: | 0294-1449 |
| Title of parent work (English): | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE |
| Publisher: | Elsevier |
| Place of publishing: | Paris |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2013 |
| Publication year: | 2013 |
| Release date: | 2017/03/26 |
| Tag: | Direct method; Minimizers; Willmore functional |
| Volume: | 30 |
| Issue: | 3 |
| Number of pages: | 22 |
| First page: | 497 |
| Last Page: | 518 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
