- Title
- A rigidity theorem for ideal surfaces with flat boundary
- Creator
- McCoy, James; Wheeler, Glen
- Relation
- ARC.DP150100375 http://purl.org/au-research/grants/arc/DP150100375 | ARC|180100431 http://purl.org/au-research/grants/arc/DP180100431
- Relation
- Annals of Global Analysis and Geometry Vol. 57, p. 1-13
- Publisher Link
- http://dx.doi.org/10.1007/s10455-019-09685-6
- Publisher
- Springer Netherlands
- Resource Type
- journal article
- 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; flat boundary conditions
- Identifier
- http://hdl.handle.net/1959.13/1417579
- Identifier
- uon:37224
- Identifier
- ISSN:0232-704X
- Rights
- This is a post-peer-review, pre-copyedit version of an article published in the Annals of Global Analysis and Geometry. The final authenticated version is available online at: http://doi.org/10.1007/s10455-019-09685-6.
- Language
- eng
- Full Text
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