a1 Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA
Using techniques of bifurcation theory, we give exact multiplicity and uniqueness results for the fourth-order Dirichlet problem, which describes deflection of an elastic beam, subjected to a nonlinear force, and clamped at the end points. The crucial part of this approach was to show positivity of non-trivial solutions of the corresponding linearized problem.
(Received July 10 2003)
(Accepted November 19 2003)