5 papers
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…
Some comparison results for one extension of the Bakry-Émery-Ricci tensor
Andrea M. Mota, Cristiano S. Silva, Juliana F. R. Miranda
We consider generalizations of the drifted Laplacian and the Bakry-Émery-Ricci tensor, and we prove a version of the mean curvature comparison theorem. Consequently, we prove a Mye…
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…
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…
Eigenvalue estimates for a class of elliptic differential operators in divergence form
José N. V. Gomes, Juliana F. R. Miranda
We compute estimates for eigenvalues of a class of linear second-order elliptic differential operators in divergence form (with Dirichlet boundary condition) on a bounded domain in…