| Now the research of eigenvalues of Riemannian manifolds has been an important fields in analysis of manifold. It has many applications in mathematics, physics and so on.Let Ω be a connected bounded domain in an n-dimensional Euclidean space Rn and n be the unit outward normal vector field of (?)Ω, the well-known eigenvalues prob-lem is called a Buckling problem, and is used to describe the critical buckling load of a clamped plate subjected to a uniform compressive force around its boundary.This Buckling problem describes the clamping side plate under external pressure to change the bending critical load. It is of great significance in engineering, construc-tion mechanics. As early as1956, The mathematicians obtained the estimates of the first two buckling eigenvalues on spherical domains, then, there are scholars continue to improve the results. In2010, Huang and Li[3] obtained more precise estimates of the first two buckling eigenvalues on spherical domains.In this paper, we discuss the first two Buckling eigenvalues on spherical domains, and use the method in paper [3] to promote their conclusion to arbitrary order. |
