Higher Hölder Regularity for Degenerate Elliptic PDEs with Data in Morrey Spaces

We are investigating $C^{1,\alpha}$ regularity for a class non linear degenerate elliptic equations that includes the $p$- Laplace operator. The novelty here is in the integrability assumptions we make about the lower order coefficients. In particular we allow data to be only $L^1$ function plus a growth condition for their integral on balls.
The technique relies on the powerful Fefferman - Phong inequality and a perturbation technique widely used in the literature.