evolution of the first eigenvalue of the (p, q)-laplacian system under rescaled yamabe flow

Consider the triple (m, g, dµ) as a smooth metric measure space and m is an n-dimensional compact riemannian manifold without boundary, also dµ = e −f(x) dv is a weighted measure. we are going to investigate the evolution problem for the first eigenvalue of the weighted (p, q)-laplacian system along the rescaled yamabe flow and we hope find some monotonic quantities.