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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


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

Ω[L(v(x))+f(x)v(x)]𝑑xon u0+W01,(Ω),

where L is either 12|ξ|2 for |ξ|1 and + for |ξ|>1, or a more general convex, extended-valued function.

Keywords: Elasto-plasticity; regularity of solutions; variational problems

MSC 2010: 49K10; 49N60


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About the article

Received: 2017-01-27

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, DOI: https://doi.org/10.1515/acv-2017-0004.

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