Local boundedness of vectorial minimizers of non-convex functionals

Authors

  • Giovanni Cupini Università di Bologna
  • Matteo Focardi Università di Firenze
  • Francesco Leonetti Università degli Studi dell'Aquila
  • Elvira Mascolo Università di Firenze

DOI:

https://doi.org/10.6092/issn.2240-2829/8942

Keywords:

Regularity, bounded, minimizer, polyconvex, functional

Abstract

We prove a local boundedness result for local minimizers of a class of non-convex functionals, under special structure assumptions on the energy density. The proof follows the lines of that in [CupLeoMas17], where a similar result is proved under slightly stronger assumptions on the energy density.

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Published

2018-12-31

How to Cite

Cupini, G., Focardi, M., Leonetti, F., & Mascolo, E. (2018). Local boundedness of vectorial minimizers of non-convex functionals. Bruno Pini Mathematical Analysis Seminar, 9(1), 20–40. https://doi.org/10.6092/issn.2240-2829/8942

Issue

Seminars 2018

Section

Articles

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Copyright (c) 2018 Giovanni Cupini, Matteo Focardi, Francesco Leonetti, Elvira Mascolo

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