Existence and regularity of entropy solutions for strongly nonlinear p(x)-elliptic equations

This article is devoted to study the existence of solutions for the strongly nonlinear p(x)-elliptic problem $$displaylines{ - operatorname{div} a(x,u,abla u) + g(x,u,abla u) = f- operatorname{div} phi(u) quad ext{in } Omega, cr u = 0 quad ext{on } partialOmega, }$$ with $ fin L^1(Omega) $ an...

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Bibliographic Details
Main Authors: Elhoussine Azroul, Hassane Hjiaj, Abdelfattah Touzani
Format: Article
Language:English
Published: Texas State University 2013-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/68/abstr.html