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Eigenvalue inequalities for the buckling problem of the drifting Laplacian

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  • Xuerong Qi
  • Zhaoxia Wang

Abstract

In this paper, we study the buckling problem of the drifting Laplacian on bounded domains in a complete Riemannian manifold with nonnegative ∞‐dimensional Bakry–Émery Ricci curvature. According to the property of the manifold, we obtain a family of trial functions. By making use of these trial functions, we derive a universal inequality of eigenvalues, which is independent of the domains.

Suggested Citation

  • Xuerong Qi & Zhaoxia Wang, 2023. "Eigenvalue inequalities for the buckling problem of the drifting Laplacian," Mathematische Nachrichten, Wiley Blackwell, vol. 296(2), pages 840-852, February.
  • Handle: RePEc:bla:mathna:v:296:y:2023:i:2:p:840-852
    DOI: 10.1002/mana.202000182
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    References listed on IDEAS

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    1. Qiaoling Wang & Changyu Xia, 2019. "Inequalities for eigenvalues of the buckling problem of arbitrary order on bounded domains of M×R," Mathematische Nachrichten, Wiley Blackwell, vol. 292(4), pages 922-930, April.
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