@article { author = {Azami, S. and Habibi Vosta Kolaei, M.}, title = {The first eigenvalue of $\left(p,q\right)$-elliptic quasilinear system along the Ricci flow}, journal = {Journal of the Iranian Mathematical Society}, volume = {2}, number = {1}, pages = {53-70}, year = {2021}, publisher = {Iranian Mathematical Society}, issn = {2717-1612}, eissn = {2717-1612}, doi = {10.30504/jims.2021.263742.1026}, abstract = {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.}, keywords = {Ricci flow,$(p,q)$-elliptic quasilinear system,Eigenvalue}, url = {https://jims.ims.ir/article_141490.html}, eprint = {https://jims.ims.ir/article_141490_c8292bfa33955943da919d35e5f22c90.pdf} }