most citedShape derivative of the first eigenvalue of the 1-Laplacian

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2007

Estimates of the best Sobolev constant of the embedding of into and related shape optimization problems

Nicolas Saintier

In this paper we find estimates for the optimal constant in the critical Sobolev trace inequality that are independent of .…

math.AP2007★ 2 cited

Shape derivative of the first eigenvalue of the 1-Laplacian

Nicolas Saintier

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.

math.AP2005

Stability and Perturbations of the Domain for the First Eigenvalue of the 1-Laplacian

Emmanuel Hebey, Nicolas Saintier

We discuss stability of the first eigenvalue of the 1-Laplacian under perturbations of the domain.