Bruno Pini Mathematical Analysis Seminar (Dec 2018)

Local boundedness of vectorial minimizers of non-convex functionals

  • Giovanni Cupini,
  • Matteo Focardi,
  • Francesco Leonetti,
  • Elvira Mascolo

DOI
https://doi.org/10.6092/issn.2240-2829/8942
Journal volume & issue
Vol. 9, no. 1
pp. 20 – 40

Abstract

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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.

Keywords