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arXiv · 1602.05290

Isoperimetric inequalities for eigenvalues by inverse mean curvature flow

Fangcheng Guo·Guanghan Li·Chuanxi Wu
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Abstract

By studying the monotonicity of the first nonzero eigenvalues of Laplace and p-Laplace operators on a closed convex hypersurface $M^n$ which evolves under inverse mean curvature flow in $\mathbb{R}^{n+1}$, the isoperimetric lower bounds for both eigenvalues were founded.

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Fangcheng Guo, Guanghan Li, Chuanxi Wu. 2016-02-17. Isoperimetric inequalities for eigenvalues by inverse mean curvature flow. https://arxiv.org/abs/1602.05290

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