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

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