Shape derivative of the first eigenvalue of the 1-Laplacian

Details Shape derivative of the first eigenvalue of the 1-Laplacian Shape derivative of the first eigenvalue of the 1-Laplacian

2007-06-06

arxiv.org/abs/0706.0873v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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