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arXiv · 2011.08380

Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order

Feng Du·Lanbao Hou·Jing Mao·Chuanxi Wu
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Abstract

In this paper, we investigate the buckling problem of the drifting Laplacian of arbitrary order on a bounded connected domain in complete smooth metric measure spaces (SMMSs) supporting a special function, and successfully get a general inequality for its eigenvalues. By applying this general inequality, if the complete SMMSs considered satisfy some curvature constraints, we can obtain a universal inequalities for eigenvalues of this buckling problem.

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Feng Du, Lanbao Hou, Jing Mao, Chuanxi Wu. 2020-11-17. Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order. https://arxiv.org/abs/2011.08380

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