ARTICLE
Renormalized solutions for p(x)-Laplacian equation with Neumann nonhomogeneous boundary condition
- Adv. Oper. Theory , 5 (4) : 1480-1497
Discipline :
Mathématiques
Auteur(s) :
M.B. Benboubker, E. Nassouri, S. Ouaro, U. Traoré
Auteur(s) tagués :
OUARO Stanislas
TRAORE Urbain
Renseignée par : OUARO Stanislas
Résumé
In this work, we study the existence of at least one renormalized solution for a p(⋅)-Laplacian equation associated with a maximal monotone operator and a nonlinear Neumann boundary condition. The functional setting involves Lebesgue and Sobolev spaces with variable exponent
Mots-clés
p(⋅)-Laplacian; maximal monotone operator; Neumann boundary condition; existence of a renormalized solution; generalized Sobolev spaces