A quantitative second order minimality criterion for cavities in elastic bodies
Analysis of PDEs
2013-04-05 v3 Optimization and Control
Abstract
We consider a functional which models an elastic body with a cavity. We show that if a critical point has positive second variation then it is a strict local minimizer. We also provide a quantitative estimate.
Keywords
Cite
@article{arxiv.1112.2482,
title = {A quantitative second order minimality criterion for cavities in elastic bodies},
author = {Giuseppe Maria Capriani and Vesa Julin and Giovanni Pisante},
journal= {arXiv preprint arXiv:1112.2482},
year = {2013}
}
Comments
Accepted Paper, SIAM J. Math. Anal