Existence of solutions for quasilinear elliptic systems in divergence form with variable growth
نویسندگان
چکیده
This paper is concerned with the following Dirichlet problem for a quasilinear elliptic system with variable growth: –divσ (x,u(x),Du(x)) = f in , u(x) = 0 on ∂ , where ⊂Rn is a bounded domain. By means of the Young measure and the theory of variable exponent Sobolev spaces, we obtain the existence of solutions in W 0 ( ,R m) for each f ∈ (W 0 ( ,Rm))∗.
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