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In this thesis, we research quasilinear Schrödinger system as follows in which 30, and nonlinear terms f,h∈C(RN×R2,R). We find a nontrivial solution (u,v) for all ι>ι1(k) by means of the mountain-pass theorem and change of variable theorem. Our main novelty of the thesis is that we extend Δ to Δp and Δq to find the existence of a nontrivial solution.
Zhang et al. (Mon,) studied this question.