Generalized Kelvin-Voigt equations with p-Laplacian and source/absorption terms

Two different cases are considered. In the case where γ<0 (with an absorption term), we prove that the solutions of the associated problem exhibit exponential and power decay, and, in the case where γ>0 (with nonlinear source term), the solutions blow up in a finite time under suitable assumptions on the exponents p, q, m and the coefficients ν, ϰ, γ, with certain initial data.