Journal Article10.1007/S00526-014-0768-Z
Riesz potential estimates for a general class of quasilinear equations
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TL;DR: In this article, the authors consider solutions to nonlinear elliptic equations with measure data and general growth and ellipticity conditions of degenerate type, and prove pointwise gradient bounds for solutions in terms of linear Riesz potentials.
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Abstract: We consider solutions to nonlinear elliptic equations with measure data and general growth and ellipticity conditions of degenerate type, as considered in Lieberman (Commun Partial Differ Equ 16:311–361, 1991); 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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