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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 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…
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…