Infinitely many solutions for fractional Kirchhoff-Schrödinger-Poisson systems

By Wang Li, Vicentiu D. Rădulescu, Binlin Zhang. Journal of Mathematics and Physics, 2019

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In this paper, we study the existence of infinitely many solutions for a fractional Kirchhoff–Schrodinger–Poisson system. Based on variational methods, especially the fountain theorem for the subcritical case and the symmetric mountain pass theorem established by Kajikiya for the critical case, we obtain infinitely many solutions for the system under certain assumptions. The novelties of this article lie in the appearance of the possibly degenerate Kirchhoff function and weak assumptions on the nonlinear term which are quite mild.In this paper, we study the existence of infinitely many solutions for a fractional Kirchhoff–Schrodinger–Poisson system. Based on variational methods, especially the fountain theorem for the subcritical case and the symmetric mountain pass theorem established by Kajikiya for the critical case, we obtain infinitely many solutions for the system under certain assumptions. The novelties of this article lie in the appearance of the possibly degenerate Kirchhoff function and weak assumptions on the nonlinear term which are quite mild.

Subfields: Applied Mathematics, Computational Theory and Mathematics

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