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A singular minimizer of a smooth strongly polyconvex functional in two dimensions
Abstract
We construct a Lipschitz, non-C1 map u: ℝ2→ ℝ6 which is the unique global minimizer of a smooth, strongly polyconvex functional. Such an example is necessarily non-homogeneous.
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BibTeX
@misc{guerra2026singular,
title = {{A singular minimizer of a smooth strongly polyconvex functional in two dimensions}},
author = {André Guerra and Riccardo Tione},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32404},
eprint = {2609.32404},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32404},
}
RIS
TY - UNPB
TI - A singular minimizer of a smooth strongly polyconvex functional in two dimensions
AU - André Guerra
AU - Riccardo Tione
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2609.32404
UR - https://arxiv.org/abs/2609.32404
AB - We construct a Lipschitz, non-C^1 map u: ℝ^2→ ℝ^6 which is the unique global minimizer of a smooth, strongly polyconvex functional. Such an example is necessarily non-homogeneous.
ER -