Inequalities for Eigenvalues of the Buckling Problem of Higher Orders

Details Inequalities for Eigenvalues of the Buckling Problem of Higher Orders Inequalities for Eigenvalues of the Buckling Problem of Higher Orders

2010-05-23

arxiv.org/abs/1005.4195v2

Mathematics

Analysis of PDEs

The authors understood that Qing-ming Cheng and Qi Xuerong have also obtained the same results. The four authors have decided

Scientific paper

This paper studies eigenvalues of the buckling problem of arbitrary order on compact 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 strengthens the recent work by Jost, Li-Jost, Wang and Xia and generalizes Cheng-Yang's recent estimates on the buckling eigenvalues of order two to arbitrary order.

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