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

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

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.v34.n4.3

Keywords:

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

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.

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Published

2021-08-23

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Issue

Vol. 34 No. 4 (2021)

Section

Articles

How to Cite

Geometric Estimates of the First Eigenvalue of $(p,q)$-Elliptic Quasilinear System Under Integral Curvature Condition. (2021). Journal of Partial Differential Equations, 34(4), 348-368. https://doi.org/10.4208/jpde.v34.n4.3