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

Authors: Cristiano Silva, Juliana Miranda, Marcio Ara\’ujo Filho Categories: math.DG math.SP Comments: 15 pages \\ 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 Laplace and Cheng-Yau operators, on a bounded domain in a complete Riemannian manifolds isometrically immersed in Euclidean space. A key step in order to obtain the sequence of our estimates is to get the right Yang-type first inequality. We also … Continue reading “Inequalities for eigenvalues of operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space”