ARTICLE
Weak solutions for anisotropic nonlinear elliptic equations with variable exponents
- Electron. J. Differ. Equ. , 144 (2009) : 1-11
Discipline :
Mathématiques
Auteur(s) :
B. Koné, S. Ouaro, S. Traoré
Auteur(s) tagués :
KONE Blaise
Renseignée par : OUARO Stanislas
Résumé
We study the anisotropic boundary-value problem
−∑i=1N∂∂xiai(x,∂∂xiu)=fin Ω,u=0on ∂Ω,
where Ω is a smooth bounded domain in ℝN (N≥3). We obtain the existence and uniqueness of a weak energy solution for f∈L∞(Ω), and the existence of weak energy solution for general data f dependent on u.
Mots-clés
ev spaces; weak energy solution; variable exponents; electrorheological fluids