This paper deals with a class of nonlinear viscoelastic wave equation with damping and source terms utt-Δu-Δut-Δutt +∫t0 g(t-s)Δu(s)ds + ut|ut |m-2 =u|u|p-
In this paper,we solve the Dirichlet problem for the Hermitian-Einstein equations on Higgs bundles over compact Hermitian manifolds.Then we prove the existence