Quasilinear elliptic equations with exponential nonlinearity and measure data.

Let Ω⊆RN be either a bounded domain or the entire space. This paper concerns existence and global pointwise estimates in terms of Wolff potentials of solutions to quasilinear and Hessian equations of Lane‐Emden type: −Δpu=σP(u)+ω,Fk[−u]=σP(u)+ωunder minimal assumptions on σ and ω, where σ is an A∞ weight and ω is a nonnegative Borel measure, and P(u)∼expγuβ with γ>0, β ≥ 1. Our methods are based on systematic application of Wolff potentials and good‐λ inequality for fractional maximal potential. [ABSTRACT FROM AUTHOR]