Calculus of Variations and Geometric Measure Theory

A. Guerra - R. Tione

A singular minimizer of a smooth strongly polyconvex functional in two dimensions

created by tione on 26 Sep 2026

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Submitted Paper

Inserted: 26 sep 2026
Last Updated: 26 sep 2026

Year: 2026

Abstract:

We construct a Lipschitz, non-$C^1$ map $u\colon \mathbb{R}^2\to \mathbb{R}^6$ which is the unique global minimizer of a smooth, strongly polyconvex functional. Such an example is necessarily non-homogeneous.

Tags: GEMS


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