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Vectorial Calculus of Variations in L^{\infty}

  • Maxime Prodhomme (ENS de Rennes)
A3 01 (Sophus-Lie room)

Abstract

First, quick presentation of some notions of Calculus of Variations in $L^{\infty}$ for scalar-valued functions, the Aronsson equation and absolute minimizers, example of the infinity-Laplacian. Then, I will talk about the case of vector-valued maps : the Aronsson system is incomplete, presentation of the full Aronsson system and of a recent type of weak solutions to this full system.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail