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arXiv · 2412.15636

Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds

Yong Luo·Xianjing Zheng
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Abstract

In this paper we study eigenvalues of Laplacian and biharmonic operators on compact domains in complete manifolds. We establish several new inequalities for eigenvalues of Laplacian and biharmonic operators respectively by using Sobolev type inequalities.

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Yong Luo, Xianjing Zheng. 2024-12-20. Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds. https://arxiv.org/abs/2412.15636

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