Weak solution for obstacle problem with variable growth Original Research Article

In this paper we introduce the weighted spaces Lp(x)(Ω,ω)Lp(x)(Ω,ω) and Wk,p(x)(Ω,ω)Wk,p(x)(Ω,ω). After discussing the properties of these spaces, we obtain the existence and uniqueness of weak solution for obstacle problem with variable growth in the setting of these spaces.