... studied. The existence of global solutions for this problem is proved by constructing a stable set in W1,p0Ω and show the asymptotic behavior of the global solutions through the use of an important ... mean of the Galerkin method and compactness criteria and a difference inequality introduced by Nakao18, the author 19, 20 has proved the existence and decay estimate of global solutions for the ... nonexistence theorems for nonlinear evolution equations, ” The Quarterly Journal of Mathematics, vol. 28, no. 112, pp. 473–486, 1977.8 H. A. Levine, “Instability and nonexistence of global solutions...