Accepted Paper
Inserted: 28 may 2014
Last Updated: 25 aug 2014
Journal: Calc. Var. Partial Differ. Equ.
Year: 2014
Doi: 10.1007/s00526-014-0768-z
Abstract:
We consider solutions to nonlinear elliptic equations with measure data and general growth and ellipticity conditions as considered in Lieberman (Comm. PDE, 1991) and we prove pointwise gradient bounds for solutions in terms of linear Riesz potentials. As a direct consequence, we get optimal conditions for the continuity of the gradient.
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