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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, $$ \F(u)=\int_\Omega f(\nabla u(x))\,\dd x\quad\m{and}\quad u\vert_{\de\Omega}=u_0\,, $$ where $\Omega$ 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.

seminar
05.12.24 30.01.25

Oberseminar Analysis

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E2 10 (Leon-Lichtenstein) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Augusteum - A314

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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