Inequalities for eigenvalues of the buckling problem of arbitrary order

Details Inequalities for eigenvalues of the buckling problem of arbitrary order Inequalities for eigenvalues of the buckling problem of arbitrary order

2010-10-12

arxiv.org/abs/1010.2327v1

Mathematics

Differential Geometry

20 pages

Scientific paper

This paper studies eigenvalues of the buckling problem of arbitrary order on
bounded domains in Euclidean spaces and spheres. We prove universal bounds for
the k-th eigenvalue in terms of the lower ones independent of the domains. Our
results strengthen the recent work in [28] and generalize Cheng-Yang's recent
estimates [16] on the buckling eigenvalues of order two to arbitrary order.

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