Eigenvalue inequalities for the buckling problem of the drifting Laplacian

Xuerong Qi and Zhaoxia Wang

Mathematische Nachrichten, 2023, vol. 296, issue 2, 840-852

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.

Date: 2023
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https://doi.org/10.1002/mana.202000182

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