N. Saintier

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

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

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math.AP2007

Estimates of the best Sobolev constant of the embedding of $B V (Ω)$ into $L^{1} (\partial Ω)$ and related shape optimization problems

Nicolas Saintier

In this paper we find estimates for the optimal constant in the critical Sobolev trace inequality $λ_{1} (Ω) ∥ u ∥_{L^{1} (\partial Ω)} \leq ∥ u ∥_{W^{1, 1} (Ω)}$ that are independent of $Ω$ .…

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.

Estimates of the best Sobolev constant of the embedding of BV(Ω) into L1(∂Ω) and related shape optimization problems

Shape derivative of the first eigenvalue of the 1-Laplacian

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

Estimates of the best Sobolev constant of the embedding of $B V (Ω)$ into $L^{1} (\partial Ω)$ and related shape optimization problems