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The existence of sign-changing solution for a class of quasilinear Schrödinger–Poisson systems via perturbation method

The existence of sign-changing solution for a class of quasilinear Schrödinger–Poisson systems via perturbation method

Abstract This paper is concerned with the existence of a sign-changing solution to a class of quasilinear Schrödinger–Poisson systems. There are some technical difficulties in applying variational methods directly to the problem because the quasilinear term makes it impossible to find a suitable space in which the corresponding functional possesses …