English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space

MPS-Authors
/persons/resource/persons235320

Gittins,  Katie
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1007/s12220-018-0063-x
(Publisher version)

Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
Supplementary Material (public)
There is no public supplementary material available
Citation

Colbois, B., Girouard, A., & Gittins, K. (2019). Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. Journal of Geometric Analysis, 29(2), 1811-1834. doi:10.1007/s12220-018-0063-x.


Cite as: https://hdl.handle.net/21.11116/0000-0004-40C0-A
Abstract
We obtain upper and lower bounds for Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. A very general upper bound is proved, which depends only on the geometry of the fixed boundary and on the measure of the interior. Sharp lower bounds are given for hypersurfaces of revolution with connected boundary: We prove that each eigenvalue is uniquely minimized by the ball. We also observe that each surface of revolution with connected boundary is Steklov isospectral to the disk.