Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 531, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127871
Keywords
Eigenvalues; Elliptic operator; Universal inequality; Immersions
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In this paper, universal inequalities of eigenvalues for a large class of second-order elliptic operators are computed. The paper also proves some inequalities for manifolds supporting special functions and tensors.
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-Beltrami 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 prove some inequalities for manifolds supporting some special functions and tensors.(c) 2023 Elsevier Inc. All rights reserved.
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