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

Mathematics – Analysis of PDEs

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23 pages

Scientific paper

We prove partial regularity for minimizers of quasiconvex functionals of the
type $\int_\Omega f(x,Du) dx$ 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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