On the BMO and C-1,C-gamma-regularity for a weak solution of fully nonlinear elliptic systems in dimension three and four

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Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences

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Abstract

We consider a nonlinear elliptic system of type -D(alpha)A(i)(alpha)(x, Du) = D(alpha)f(i)(alpha) and give conditions guaranteeing C-1,C-gamma interior regularity of weak solutions.

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nonlinear elliptic systems, regularity, Campanato–Morrey spaces

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Electronic Journal of Qualitative Theory of Differential Equations. 2021, issue 24, p. 1-19.