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Estimates for the first eigenvalues of the affine Laplacian

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Abstract

In this paper, we study the first nonzero eigenvalues of the Laplacian with respect to affine connections. Some lower bounds for the first nonzero eigenvalues of several types of eigenvalue problems are obtained for compact manifolds with boundary.

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Authors and Affiliations

  1. Department of Mathematics, Henan Normal University, Xinxiang, 453007, People’s Republic of China

    Guangyue Huang & Mingfang Zhu

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  1. Guangyue Huang
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  2. Mingfang Zhu
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Correspondence to Guangyue Huang.

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The research of authors is supported by NSFC (No. 11971153).

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Huang, G., Zhu, M. Estimates for the first eigenvalues of the affine Laplacian. Arch. Math. 121, 77–87 (2023). https://doi.org/10.1007/s00013-023-01861-2

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  • DOI: https://doi.org/10.1007/s00013-023-01861-2

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