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Regularity for Minimizers of Mixed-Smoothness Variational Integrals

Jan Kristensen, Adam Prosinski, Aidan Strong

math.AParXiv: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.

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