Norman Dancer School of Mathematics & Statistics, University of Sydney Infinitely Many Bifurcations for Nonlinear Elliptic Equations with Rapidly Growing Nonlinearity Wednesday 14th May 14:05-14:55pm, Eastern Avenue Lecture Theatre. We discuss the proof that in suitable dimensions the branch of positive solutions -Laplacian u = r exp u in D, u=0 on the boundary of D, has infinitely many bifurcation points. Here D is a smooth bounded domain. We also discuss related equations. This equation occurs in catalysis and combustion.