- Title
- A rigidity theorem for ideal surfaces with flat boundary
- Creator
- McCoy, James; Wheeler, Glen
- Relation
- Scholarly Journals Annals of Global Analysis and Geometry . 2018 Matrix Annals (Creswick, Victoria 05-16 November, 2018) p. 285-291
- Relation
- ARC.DP150100375 http://purl.org/au-research/grants/arc/DP150100375
- Publisher Link
- http://dx.doi.org/10.1007/978-3-030-38230-8
- Publisher
- Springer
- Resource Type
- conference paper
- Date
- 2020
- Description
- We consider surfaces with boundary satisfying a sixth-order nonlinear elliptic partial differential equation corresponding to extremising the L2-norm of the gradient of the mean curvature. We show that such surfaces with small L2-norm of the second fundamental form and satisfying so-called flat boundary conditions are necessarily planar.
- Subject
- higher-order geometric partial differential equation; sixth-order elliptic equation; Neumann boundary condition
- Identifier
- http://hdl.handle.net/1959.13/1426494
- Identifier
- uon:38428
- Identifier
- ISBN:9783030382292
- Language
- eng
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