On a quasilinear Schrödinger-Poisson system
2022
Abstract In this paper we study a quasilinear elliptic system coupled by a Schrodinger equation with p-Laplacian operator and a Poisson equation. Some scaling transformation and ingenious methods are applied to produce the bounded Palais-Smale sequences and the existence of nontrivial solutions for the system is obtained by the mountain pass theorem.
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