Local boundedness of vectorial minimizers of non-convex functionals

Giovanni Cupini, Matteo Focardi, Francesco Leonetti, Elvira Mascolo

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.

Keywords


Regularity; bounded; minimizer; polyconvex; functional

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DOI: 10.6092/issn.2240-2829/8942

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

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