arXiv subjects

Marcio Costa Araújo Filho

Publications and source records attributed to Marcio Costa Araújo Filho.

2 recordsLinked to original sources

arXiv2022

Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds

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 generalizes the corresponding result for the clamped plate problem. We also prove estimates for lower order eigenvalues that contain some of the estimates from the literature. As an application of our results, we obtain eigenvalues estimates for the bi-drifted Cheng-Yau operator.

math.AP↗

arXiv2021

Estimates for the first eigenvalues of Bi-drifted Laplacian on smooth metric measure space

In this paper, we obtain lower bounds for the first eigenvalue to some kinds of the eigenvalue problems for Bi-drifted Laplacian operator on compact manifolds (also called a smooth metric measure space) with boundary and $m$-Bakry-Emery Ricci curvature or Bakry-Emery Ricci curvature bounded below. We also address the eigenvalue problem with Wentzell-type boundary condition for drifted Laplacian on smooth metric measure space.

math.DG↗