N -Laplacian and $N/2$-Hessian type equations with exponential reaction term and measure data

In this article, we will prove existence results for the equations of the type -ΔNu=Hₗ(u)+μ and FN/2[-u]=Hₗ(u)+μ in a bounded domain Ω, with Dirichlet boundary condition, where the source term Hₗ(r) takes the form eʳ-∑ⱼ₌₀ˡ⁻¹rʲj! and μ is a nonnegative Radon measure.