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We study the following coupled system of quasilinear equations:{-△pu+|u|^p-2u=f(u)+λυ,x∈R^N,-△pυ+|υ|^p-2υ=g(υ)+λu,x∈R^N.Under some assumptions on the nonlinear terms f and g, we establish some results about the existence and regularitl of vector solutions