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This paper is devoted to the existence and non-existence of positivesolutions for a $(p, q)$-Laplacian system with indefinite nonlinearitydepending on two parameters $(\lambda,\mu)$. By using the sub-supersolutionmethod together with adaptations of ideas found in \cite{AAS,CRMZ}, we extendsome previous result.

A new result on the existence and non-existence of positive solutions for two-parametric systems of quasilinear elliptic equations