paper

Regularity for Minimizers of Mixed-Smoothness Variational Integrals

arXiv:2610.15844

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.

22 pages. Accepted for publication in Nonlinear Analysis