We consider the asymptotic behavior of solutions for a nonlocal quasilinear parabolic equation. We study the case where the associated nonlocal elliptic problem has a unique equilibrium. It is shown that under certain assumptions such an equilibrium is a global attractor.
"Asymptotic behavior of some nonlocal parabolic problems." Adv. Differential Equations 11 (2) 167 - 199, 2006.