PreprintCC BY-NC-ND 4.0arXiv
Regularity for Minimizers of Mixed-Smoothness Variational Integrals
Abstract
We establish the first partial regularity results for minimizers of a class of suitably quasiconvex variational integrals defined on anisotropic Sobolev spaces. These variational integrals are related to higher gradient continuum models for pantographic metamaterials.
Related
- The Liouville property for entire local minimizers from the space BVloc(R2,RN) of variational integrals with linear growth
- L2-regularity of minimizers of anisotropic interaction functionals
- A complete theory of local minimizers for periodic variational problems
- Partial regularity for local minimizers of functionals with double-phase Orlicz growth
- K2-regularity is equivalent to smoothness for toric varieties
BibTeX
@misc{kristensen2026regularity,
title = {{Regularity for Minimizers of Mixed-Smoothness Variational Integrals}},
author = {Jan Kristensen and Adam Prosinski and Aidan Strong},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15844},
eprint = {2610.15844},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15844},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Regularity for Minimizers of Mixed-Smoothness Variational Integrals
AU - Jan Kristensen
AU - Adam Prosinski
AU - Aidan Strong
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15844
UR - https://arxiv.org/abs/2610.15844
AB - We establish the first partial regularity results for minimizers of a class of suitably quasiconvex variational integrals defined on anisotropic Sobolev spaces. These variational integrals are related to higher gradient continuum models for pantographic metamaterials.
ER -