Gradient continuity for p(⋅)p(⋅)-Laplace systems

We prove the continuity of the gradient of weak solutions to nonhomogeneous p(⋅)p(⋅)-Laplace systems with coefficients. We assume that the nonhomogeneous term belongs to the Lorentz space Ln,1Ln,1, the coefficient is Dini continuous and the variable exponent p(⋅)p(⋅) is logarithmic Dini type continuous.