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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.DG2025
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…
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…