Shape derivative of the first eigenvalue of the 1-Laplacian
Analysis of PDEs
2007-06-07 v1
Abstract
We compute the shape derivative of the first eigenvalue of the 1-Laplacian. As an application, we find that a ball is critical among all volume-preserving deformations.
Keywords
Cite
@article{arxiv.0706.0873,
title = {Shape derivative of the first eigenvalue of the 1-Laplacian},
author = {Nicolas Saintier},
journal= {arXiv preprint arXiv:0706.0873},
year = {2007}
}