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Existence and uniqueness results for Kirchhoff-Schrödinger-Poisson system with general singularity. (English) Zbl 1379.35141

Summary: In this paper, under the general singular assumptions on \(f\), we discuss the existence and uniqueness of solution to a class of Kirchhoff-Schrödinger-Poisson system. For the existence of solution, we assume that \(f\) is nonincreasing on \((0,\delta]\) and satisfies general singularity at zero, and sublinear growth at infinity. Furthermore, we also obtain the unique result assuming that \(f\) satisfies one side Lipschitz condition on \([\delta,\infty)\). The variational method is employed to discuss the existence and uniqueness of solution to this system.

MSC:

35J75 Singular elliptic equations
35J50 Variational methods for elliptic systems
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