Optimality conditions for the buckling of a clamped plate
Optimization and Control
2014-09-01 v1
Abstract
We prove the following uniqueness result for the buckling plate. Assume there exists a smooth domain which minimizes the first buckling eigenvalue for a plate among all smooth domains of given volume. Then the domain must be a ball. The proof uses the second variation for the buckling eigenvalue and an inequality by L. E. Payne to establish this result.
Keywords
Cite
@article{arxiv.1408.6982,
title = {Optimality conditions for the buckling of a clamped plate},
author = {Kathrin Knappmann and Alfred Wagner},
journal= {arXiv preprint arXiv:1408.6982},
year = {2014}
}