Conformal bounds for the first eigenvalue of the (p,q)-Laplacian system

Consider (M,g) as an m-dimensional compact connected Riemannian manifold without boundary. In this paper, we investigate the first eigenvalue λ1,p,q of the (p,q)-Laplacian system on M. Also, in the case of $p,q >n$ we will show that for arbitrary large λ1,p,q there exists a Riemannian metric of volume one conformal to the standard metric of Sᵐ.