The purpose of this paper is to study the steady states for a nonlocal
semilinear heat equation. The nonlocal term is involving the integral of the
solution over the spatial interval. By using some elementary differential 
inequalities, a detail analysis of existence and/or nonexistence of steady
states are given for different ranges of parameters.   From which it follows 
that some global existence and nonexistence results of solutions of the original
heat equation can be easily deduced.