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Volume 36, Issue 1
The Eigenvalues of a Class of Elliptic Differential Operators

Mohammad Javad Habibi Vosta Kolaei & Shahroud Azami

DOI: 10.4208/jpde.v36.n1.4

J. Part. Diff. Eq., 36 (2023), pp. 58-67.

Published online: 2022-12

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  • 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.

  • Keywords

Eigenvalue problem elliptic operators Bochner type formula.

  • AMS Subject Headings

53C21, 58C40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

MJ.Habibi@Edu.ikiu.ac.ir (Mohammad Javad Habibi Vosta Kolaei)

azami@sci.ikiu.ac.ir (Shahroud Azami)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-36-58, author = {Habibi Vosta Kolaei , Mohammad Javad and Azami , Shahroud}, title = {The Eigenvalues of a Class of Elliptic Differential Operators}, journal = {Journal of Partial Differential Equations}, year = {2022}, volume = {36}, number = {1}, pages = {58--67}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v36.n1.4}, url = {http://global-sci.org/intro/article_detail/jpde/21293.html} }
TY - JOUR T1 - The Eigenvalues of a Class of Elliptic Differential Operators AU - Habibi Vosta Kolaei , Mohammad Javad AU - Azami , Shahroud JO - Journal of Partial Differential Equations VL - 1 SP - 58 EP - 67 PY - 2022 DA - 2022/12 SN - 36 DO - http://doi.org/10.4208/jpde.v36.n1.4 UR - https://global-sci.org/intro/article_detail/jpde/21293.html KW - Eigenvalue problem KW - elliptic operators KW - Bochner type formula. AB -

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.

Habibi Vosta Kolaei , Mohammad Javad and Azami , Shahroud. (2022). The Eigenvalues of a Class of Elliptic Differential Operators. Journal of Partial Differential Equations. 36 (1). 58-67. doi:10.4208/jpde.v36.n1.4
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