  We introduce several martingale changes of measure of the law of the exit
measure of super Brownian motion. These changes of measure include and
generalize one arising by conditioning the exit measures to charge a point on
the boun dary of a 2-dimensional domain. In the case we discuss this is a
non-degenerate conditioning. We give characterizations of the new processes in
terms of "immortal particle" branching processes with immigration of mass, and
give application s to the study of solutions to Lu = cu^2 in D. The
representations are related to those in an earlier paper, which treated the
case of degenerate conditionings.
