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Keywords:
quasilinear functional; minimizer; regularity; Campanato-Morrey space
quasilinear functional; minimizer; regularity; Campanato-Morrey space
Summary:
We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type $$ \mathcal A(u;\Omega )=\int _{\Omega } A_{ij}^{\alpha \beta }(x,u) D_{\alpha }u^iD_{\beta }u^j\,{\rm d}x $$ whose gradients belong to the Morrey space $L^{2,n-2}(\Omega ,\mathbb R^{nN})$.
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