A survey on potential theory on Orlicz spaces

In this survey we expose the fundamentals of the strongly nonlinear potential theory and relate some of its components. As applications, we establish a relation between this theory and Partial Differential Equations, and show whether the equation Δ_Au + h = 0 possesses a solution or not, for a fixed function h. Here Δ_A is the A-Laplacian which is the p-Laplacian Δ_p, when the Orlicz space L_A reduces to the Lebesgue space L^p.