| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4614739 | Journal of Mathematical Analysis and Applications | 2015 | 20 Pages |
Abstract
We prove the following uniqueness result for the buckling plate: Assume there exists a smooth domain that minimizes the first buckling eigenvalue for a plate among all smooth domains of given volume and connected boundary. Then the domain must be a ball. The proof uses the second domain variation and an inequality by L.E. Payne to establish this result.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kathrin Stollenwerk, Alfred Wagner,