Pointwise potential estimates for solutions to a class of nonlinear elliptic equations with measure data

In this article, we investigate the regularities of solutions to a class of nonlinear elliptic equations with measure data. These equations involve the $ N $-functions, and the solutions belong to the Sobolev-Orlicz spaces. Through the application of comparison arguments, Caccioppoli-type inequality, and maximal estimate, we derive pointwise Riesz potential estimates for both the gradient of the solutions and the solutions themselves. Furthermore, we establish Hölder continuity estimates for the solutions.