Well-Posedness results for anisotropic nonlinear elliptic equations with variable exponent and 𝘓¹ -data
Author
Ouaro, Stanislas
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/143210.4067/S0719-06462010000100012
Abstract
We study the anisotropic boundary value problem in Ω, u = 0 on ∂Ω, where Ω is a smooth open bounded domain in ℝN (N ≥ 3) and f ∈ L1 (Ω). We prove the existence and uniqueness of an entropy solution for this problem.