Quasilinear Equations with Exponential Reactions and Measure Data on Carnot Groups

In this paper, we establish existence and pointwise Wolff potential bounds for nonnegative solutions of $-Δ_{\mathbb{G},p}u=H_l(αu^β)+μ$ on Carnot groups, where $H_l(t)=e^t-\sum_{j=0}^{l-1}t^j/j!$ and $μ$ is a nonnegative Radon measure. Under suitable conditions on the reaction parameters, we treat