Estimates for the higher order buckling eigenvalues in the unit sphere

Guangyue Huang, Xingxiao Li, Xuerong Qi

We consider the higher order buckling eigenvalues of the following Dirichlet poly-Laplacian in the unit sphere $(-\Delta {)}^{p}u=\Lambda (-\Delta )u$ with order $p(\ge 2)$. We obtain universal bounds…