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# Advances in Calculus of Variations

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# On the regularity of solutions to the plastoelasticity problem

Arrigo Cellina
• Corresponding author
• Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano-Bicocca, Via R. Cozzi 53, 20125 Milano, Italy
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Published Online: 2017-09-09 | DOI: https://doi.org/10.1515/acv-2017-0004

## Abstract

We prove the local regularity of solutions to the problem of minimizing

where ${L}_{\mathrm{\infty }}$ is either $\frac{1}{2}{|\xi |}^{2}$ for $|\xi |\le 1$ and $+\mathrm{\infty }$ for $|\xi |>1$, or a more general convex, extended-valued function.

MSC 2010: 49K10; 49N60

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Revised: 2017-06-07

Accepted: 2017-06-12

Published Online: 2017-09-09

This work has been partially supported by INDAM-GNAMPA.

Citation Information: Advances in Calculus of Variations, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258,

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