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Existence of solutions for quasilinear elliptic systems in divergence form with variable growth

Existence of solutions for quasilinear elliptic systems in divergence form with variable growth

This paper is concerned with the following Dirichlet problem for a quasilinear elliptic system with variable growth: in Ω, on ∂ Ω, where 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 for each …