ARTICLE
Well-posedness results for anisotropic nonlinear elliptic equations with variable exponent and L1-data
- Cubo , 12 (1) : 133-148
Discipline :
Mathématiques
Auteur(s) :
S. Ouaro
Auteur(s) tagués :
OUARO Stanislas
Renseignée par : OUARO Stanislas
Résumé
We study the anisotropic boundary value problem −∑Ni=1∂∂xiai(x,∂∂xiu)=f 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.
Mots-clés
anisotropic nonlinear elliptic equations; variable exponent; entropy solution; electrorheological fluids