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arXiv · 1611.06704

The quantitative Faber-Krahn inequality for the Robin Laplacian

D. Bucur·V. Ferone·C. Nitsch·C. Trombetti
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Abstract

We prove a quantitative Faber-Krahn inequality for the first eigenvalue of the Laplace operator with Robin boundary conditions. The asymmetry term involves the square power of the Fraenkel asymmetry, multiplied by a constant depending on the Robin parameter, the dimension of the space and the measure of the set.

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D. Bucur, V. Ferone, C. Nitsch, C. Trombetti. 2016-11-21. The quantitative Faber-Krahn inequality for the Robin Laplacian. https://arxiv.org/abs/1611.06704

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