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Volume 34, Issue 4
Geometric Estimates of the First Eigenvalue of $(p,q)$-Elliptic Quasilinear System Under Integral Curvature Condition

Mohammad Javad Habibi Vosta Kolaei & Shahroud Azami

DOI: 10.4208/jpde.v34.n4.3

J. Part. Diff. Eq., 34 (2021), pp. 348-368.

Published online: 2021-08

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  • Abstract

Consider (M,g) as a complete, simply connected Riemannian manifold. The aim of this paper is to provide various geometric estimates in different cases for the first eigenvalue of $(p,q)$-elliptic quasilinear system in both Dirichlet and Neumann conditions on Riemannian manifold. In some cases we add integral curvature condition and maybe we prove some theorems under other conditions.

  • Keywords

Eigenvalue, $(p,q)$-elliptic quasilinear system, geometric estimate, integral curvature.

  • AMS Subject Headings

65N25, 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-34-348, author = {Habibi Vosta Kolaei , Mohammad Javad and Azami , Shahroud}, title = {Geometric Estimates of the First Eigenvalue of $(p,q)$-Elliptic Quasilinear System Under Integral Curvature Condition}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {4}, pages = {348--368}, abstract = {

Consider (M,g) as a complete, simply connected Riemannian manifold. The aim of this paper is to provide various geometric estimates in different cases for the first eigenvalue of $(p,q)$-elliptic quasilinear system in both Dirichlet and Neumann conditions on Riemannian manifold. In some cases we add integral curvature condition and maybe we prove some theorems under other conditions.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n4.3}, url = {http://global-sci.org/intro/article_detail/jpde/19403.html} }
TY - JOUR T1 - Geometric Estimates of the First Eigenvalue of $(p,q)$-Elliptic Quasilinear System Under Integral Curvature Condition AU - Habibi Vosta Kolaei , Mohammad Javad AU - Azami , Shahroud JO - Journal of Partial Differential Equations VL - 4 SP - 348 EP - 368 PY - 2021 DA - 2021/08 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n4.3 UR - https://global-sci.org/intro/article_detail/jpde/19403.html KW - Eigenvalue, $(p,q)$-elliptic quasilinear system, geometric estimate, integral curvature. AB -

Consider (M,g) as a complete, simply connected Riemannian manifold. The aim of this paper is to provide various geometric estimates in different cases for the first eigenvalue of $(p,q)$-elliptic quasilinear system in both Dirichlet and Neumann conditions on Riemannian manifold. In some cases we add integral curvature condition and maybe we prove some theorems under other conditions.

Habibi Vosta Kolaei , Mohammad Javad and Azami , Shahroud. (2021). Geometric Estimates of the First Eigenvalue of $(p,q)$-Elliptic Quasilinear System Under Integral Curvature Condition. Journal of Partial Differential Equations. 34 (4). 348-368. doi:10.4208/jpde.v34.n4.3
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