The Eigenvalues of a Class of Elliptic Differential Operators

Mohammad Javad Habibi Vosta Kolaei; Shahroud Azami

doi:10.4208/jpde.v36.n1.4

The Eigenvalues of a Class of Elliptic Differential Operators

Authors

Mohammad Javad Habibi Vosta Kolaei Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran
Shahroud Azami Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

DOI:

https://doi.org/10.4208/jpde.v36.n1.4

Keywords:

Eigenvalue problem;elliptic operators;Bochner type formula.

Abstract

Consider $\left(M,g\right)$ as an $n$-dimensional compact Riemannian manifold. In this paper we are going to study a class of elliptic differential operators which appears naturally in the study of hypersurfaces with constant mean curvature and also the study of variation theory for $1$-area functional.

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Published

2023-06-16

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Issue

Vol. 36 No. 1 (2023)

Section

Articles

How to Cite

The Eigenvalues of a Class of Elliptic Differential Operators. (2023). Journal of Partial Differential Equations, 36(1), 58-67. https://doi.org/10.4208/jpde.v36.n1.4