Talk

Non-Uniqueness of Minimizers for Strict Polyconvex Functionals

  • Emanuele Spadaro (Universität Zürich)
A3 01 (Sophus-Lie room)

Abstract

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, \F(u)=Ωf(u(x))\ddx\mandu|\deΩ=u0, where Ω 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.

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