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.
@article{1432,
title = {Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and L1 -Data},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1432}
}
Ouaro, Stanislas. Well-Posedness Results for Anisotropic Nonlinear Elliptic Equations with Variable Exponent and 𝘓¹ -Data. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1432/