Self-consistent lattice gas models for the dynamics of monolayer and multilayer adsorbates with attractive lateral interactions are investigated. The existence of spinodal regions with uphill diffusion is shown. For monolayer growth, periodic stationary distributions of adsorbate density are found analytically. Generalized kinetic BET-model for multilayer growth is studied numerically. A possibility for surface transformation into self-organized arrays of quantum dot-like structures is shown.