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arxiv: 0706.0873 · v1 · submitted 2007-06-06 · 🧮 math.AP

Shape derivative of the first eigenvalue of the 1-Laplacian

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keywords derivativeeigenvaluefirstlaplacianshapeapplicationballcompute
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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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