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20202026
most citedInequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds

2 citations · 5 across the 7 of their papers we have counts for

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7 papers

math.DG2026

Estimates of eigenvalues of elliptical differential problems in divergence form

Marcio C. Araújo Filho, Juliana F. R. Miranda, Cristiano S. Silva

In this paper, we compute universal estimates of eigenvalues for a class of coupled systems of elliptic differential equations in divergence form on a bounded domain in Euclidean s…

math.AP2024

Estimates of the gaps between consecutive eigenvalues for a class of elliptic differential operators in divergence form on Riemannian manifolds

Cristiano S. Silva, Juliana F. R. Miranda, Marcio C. Araújo Filho

In this work, we obtain estimates for the upper bound of gaps between consecutive eigenvalues for the eigenvalue problem of a class of second-order elliptic differential operators…

math.DG2023

Inequalities for eigenvalues of operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space

Cristiano S. Silva, Juliana F. R. Miranda, Marcio C. Araújo Filho

In this paper, we compute universal inequalities of eigenvalues of a large class of second-order elliptic differential operators in divergence form, that includes, e.g., the Laplac…

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…

math.DG2021

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

Marcio Costa Araújo Filho

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…

math.AP2020★ 2 cited

Estimates of eigenvalues of an elliptic differential system in divergence form

Marcio C. Araújo Filho, José N. V. Gomes

In this paper, we compute universal estimates of eigenvalues of a coupled system of elliptic differential equations in divergence form on a bounded domain in Euclidean space. As an…