Iranian Mathematical Society Journal of the Iranian Mathematical Society 2717-1612 2 1 2021 01 01 The first eigenvalue of $\left(p,q\right)$-elliptic quasilinear system along the Ricci flow 53 70 141490 10.30504/jims.2021.263742.1026 EN S. Azami Department of pure mathematics, Faculty of mathematical science, Imam Khomeini international university, Qazvin, Iran M. Habibi Vosta Kolaei Department of pure mathematics, Faculty of science, Imam Khomeini international university, Qazvin, Iran Journal Article 2020 12 25 In this paper we investigate the monotonicity of the first eigenvalue of $\left(p,q\right)$-elliptic quasilinear systems along the Ricci flow in both normalized and unnormalized conditions. In particular, we study the eigenvalue problem for this system in the case of Bianchi classes for $3$-homogeneous manifolds. Ricci flow $(p q)$-elliptic quasilinear system Eigenvalue https://jims.ims.ir/article_141490_ebba8dafb3709a27806afa95228a0817.pdf