Regularity of minimizers of autonomous convex variational integrals

We establish local higher integrability and differentiability results for minimizers of variational integrals $(V,ω)= l<inf>ω</inf>F(Dv(x))dx over W1-p-Sobolev mappings v:ω⊂R<sup>n</sup>→R<sup>N</sup> satisfying a Dirichlet boundary condition. The integrands F are...

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Bibliographic Details
Main Authors: Carozza, M, Kristensen, J, Di Napoli, A
Format: Journal article
Published: Scuola Normale Superiore 2014

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