Colloquium: Infinitely many bifurcations for rapidly growing nonlinearities
by Professor Norman Dancer
Abstract: We discuss how the application of real analytic bifurcation theory and finite Morse index solutions of partial differential equations can be used to show that the problem - Laplacian u= r exp(u) in D with u=0 on the boundary of D has infinitely many bifurcation points. Here D is a smooth bounded domain in N-dimensional space and N is between 3 and 9 (and the dimension restriction is best possible).
For More Information: Contact Paul Pearce (P.Pearce@ms.unimelb.edu.au) or Paul Norbury (P.Norbury@ms.unimelb.edu.au)