Romeo Awi : Uniqueness of minimizers in polyconvex problems: The limit cases.

Posted by Youngjoon Hong , part of the Analysis and Applied Mathematics Seminar.

At

April 12, 2017, 2 p.m.

In

SEO 1227

Abstract

In elasticity theory, the energy functionals are convex functions of the minors of the deformation gradient and thus are not expected to be convex. In this case, the uniqueness of equilibrium configurations is a challenging topic and has been linked to the fact that the potential map transports Lebesgue measure into a measure absolutely continuous with respect to Lebesgue measure. We will discuss limit cases where the potential may be degenerate and we still have uniqueness under mild regularity conditions on the maximizers of the dual problem.