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

被引：0

作者：

Silva, Cristiano S. ^{[1
]}

Miranda, Juliana F. R. ^{[1
]}

Filho, Marcio C. Araujo ^{[2
]}

机构：

[1] Univ Fed Amazonas, Dept Matemat, Ave Gen Rodrigo Octavio 6200, BR-69080900 Manaus, AM, Brazil

[2] Univ Fed Rondonia, Dept Matemat, Campus Ji Parana,R Rio Amazonas 351, BR-76900726 Ji Parana, RO, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 531卷 / 01期

关键词：

Eigenvalues; Elliptic operator; Universal inequality; Immersions; TRACE IDENTITIES; UNIVERSAL; HYPERSURFACES; LAPLACIAN; SYSTEM; BOUNDS;

D O I：

10.1016/j.jmaa.2023.127871

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：15

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