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math.DG2022★ 1 cited
Eigenvalue estimates for a class of elliptic differential operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space
Marcio C. Araújo Filho, José N. V. Gomes
In this paper, we obtain eigenvalue estimates for a larger class of elliptic differential operators in divergence form on a bounded domain in a complete Riemannian manifold isometr…
math.AP2022★ 2 cited
Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds
Marcio Costa Araújo Filho
We prove some inequalities of Payne-Pólya-Weinberger-Yang type for eigenvalues of fourth-order elliptic operators in weighted divergence form on complete Riemannian manifolds which…