Reflection of Willmore Surfaces with Free Boundaries
Kuwert, Ernst; Lamm, Tobias
1
1 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)
11 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)
Abstract:
We study immersed surfaces in R$^{3}$ that are critical points of the Willmore functional under boundary constraints. The two cases considered are when the surface meets a plane orthogonally along the boundary and when the boundary is contained in a line. In both cases we derive weak forms of the resulting free boundary conditions and prove regularity by reflection.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 0008-414X, 1496-4279 KITopen-ID: 1000135997 |
| Erschienen in | Canadian Journal of Mathematics |
| Verlag | University of Toronto Press |
| Band | 73 |
| Heft | 3 |
| Seiten | 787-804 |
| Nachgewiesen in | Web of Science Scopus OpenAlex Dimensions |
| Globale Ziele für nachhaltige Entwicklung |