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Regularity for minimizers of functionals with nonstandard growth by A-harmonic approximation

J. Habermann, A. Zatorska-Goldstein

math.AParXiv:math/0610366

Abstract

We prove partial regularity for minimizers of quasiconvex functionals of the type ∫ f(x,Du) dx with p(x) growth with respect to the second variable. The proof is direct and uses a method of A-harmonic approximation.

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