Abstract for the talk at 09.10.2007 (16:45 h)

Emanuele Spadaro (Universität Zürich)

Non-Uniqueness of Minimizers for Strict Polyconvex Functionals

In this talk we consider a problem posed by J.M. Ball about the uniqueness of smooth equilibrium solutions to boundary value problems for strictly polyconvex functionals,

where is homeomorphic to a ball.
We give several examples of non-uniqueness, the main of which is such a boundary value problem with at least two analytic different minimizers. All this examples are suggested by the theory of Minimal Surfaces.