Universal bounds for eigenvalues of the polydrifting Laplacian operator in compact domains in the R-n and S-n

作者：Pereira Rosane Gomes; Adriano Levi^*; Pina Romildo

来源：Annals of Global Analysis and Geometry, 2015, 47(4): 373-397.

DOI：10.1007/s10455-015-9450-8

• Yang type inequality
• Riemannian manifolds
• Drifting Laplacian
• Euclidean space
• Unit sphere

In this paper, we study eigenvalues of polydrifting Laplacian on compact Riemannian manifolds with boundary (possibly empty). Here, we prove a universal inequality for the eigenvalues of the polydrifting operator on compact domains in an Euclidean space . In particular our result covers the Jost-Xia inequality for polyharmonic operator. Moreover universal inequalities for eigenvalues of polydrifting operator on compact domains in a unit -sphere are given.

• 出版日期2015-4