Applied Maths Seminar: Dancer -- Infinitely Many Bifurcations for Nonlinear Elliptic Equations with Rapidly Growing Nonlinearity

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.