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An elliptic system with logarithmic nonlinearity

Abstract In the present paper, we study the existence of solutions for some classes of singular systems involving the Δ p ⁢ ( x ) {\Delta_{p(x)}} and Δ q ⁢ ( x ) {\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method for systems of quasilinear equations involving singular terms.