Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates

Yan Zhao; Chuanxi Wu; Jing Mao; Feng Du

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arXiv · 1810.08281

Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates

Yan Zhao·Chuanxi Wu·Jing Mao·Feng Du

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Abstract

In this paper, two interesting eigenvalue comparison theorems for the first non-zero Steklov eigenvalue of the Laplacian have been established for manifolds with radial sectional curvature bounded from above. Besides, sharper bounds for the first non-zero eigenvalue of the Wentzell eigenvalue problem of the weighted Laplacian, which can be seen as a natural generalization of the classical Steklov eigenvalue problem, have been obtained.

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BibTeX RIS

Yan Zhao, Chuanxi Wu, Jing Mao, Feng Du. 2018-10-18. Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates. https://arxiv.org/abs/1810.08281

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