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/