Josef Danecek, Institute of Mathematics and Biomathematics, Faculty of Science, University of South Bohemia, Branisovska 31, 370 05 Ceske Budejovice, Czech Republic, e-mail: josef.danecek@prf.jcu.cz; Eugen Viszus, Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynska dolina, 842 48 Bratislava, Slovak Republic, e-mail: eugen.viszus@fmph.uniba.sk
Abstract: We discuss the interior Holder 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\dd x
whose gradients belong to the Morrey space $L^{2,n-2}(\Omega,\mathbb{R}^{nN})$.
Keywords: quasilinear functional, minimizer, regularity, Campanato-Morrey space
Classification (MSC 2010): 35J60
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