Abstract
ABSTRACT In this paper we obtain the interior Hölder regularity of the gradient for the elliptic -Laplacian equation with the logarithmic function under some proper assumptions on the Hölder continuous functions and A. This extends previous results obtained by Giannetti and Passarelli di Napoli [Regularity results for a new class of functionals with non-standard growth conditions. J. Differ Equ. 2013;254(3):1280–1305], where A is the identity matrix and hence does not depend on x.
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