Abstract: The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains. We discussed the existence of the solutions and the removability of the orifice at the radial st eady states, nonradial steady states and nonsteady states.

Key words: perforated domains, nonlocal boundary value condition, nonlinear diffusion equations