Well-Posedness results for anisotropic nonlinear elliptic equations with variable exponent and 𝘓¹ -data

Abstract

We study the anisotropic boundary value problem in Ω, u = 0 on ∂Ω, where Ω is a smooth open bounded domain in â„^N (N ≥ 3) and f ∈ L¹ (Ω). We prove the existence and uniqueness of an entropy solution for this problem.