Inequalities for eigenvalues of the buckling problem of arbitrary order on bounded domains of

Abstract

We prove universal inequalities for eigenvalues of the buckling problem of arbitrary order on bounded domains in M×R which are independent of the domains.

Eigenvalue inequalities for the buckling problem of the drifting Laplacian

“…Remark When $$\phi =0$$, the equality in Lemma 3.1 becomes the equality (2.8) of Cheng and Yang [4]; the inequalities in Lemma 3.2 and Lemma 3.3 are the inequality (2.21) of Wang and Xia [16] and the inequality (3.26) in [6], respectively.…”

“…) , respectively, where {𝛿 𝑖 } 𝑘 𝑖=1 is an arbitrary positive nonincreasing monotone sequence. For some recent developments about universal inequalities for eigenvalues of the buckling problem on Riemannian manifolds, we refer to [2,6,11,16] and the references therein.…”