Global solution for a thermoelastic system with p-Laplacian

In this work we prove global solution for the nonlinear system utt−Δpu+θ=|u|r−1uθt−Δθ=utwhere Δp is the nonlinear p-Laplacian operator, 2≤p<∞. We apply the potential well theory. The global solution is constructed by means of the Faedo-Galerkin approximations, taking into account that the initial data is in appropriated set of stability created from the Nehari manifold.