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arXiv · 0706.0873

Shape derivative of the first eigenvalue of the 1-Laplacian

Nicolas Saintier
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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.

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Nicolas Saintier. 2007-06-06. Shape derivative of the first eigenvalue of the 1-Laplacian. https://arxiv.org/abs/0706.0873

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