Inequalities for the Navier and Dirichlet eigenvalues of elliptic operators
Qiaoling Wang, Changyu Xia · Pacific Journal of Mathematics · 2011
This paper studies eigenvalues of elliptic operators on a bounded domain in a Euclidean space.We obtain lower bounds for the eigenvalues of elliptic operators of higher orders with Navier boundary condition.We also prove lower bounds and universal inequalities of Payne-Pólya-Weinberger-Yang type for the eigenvalues of second order elliptic equations in divergence form with Dirichlet boundary condition.