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Infinitely many solutions for fractional Kirchhoff-Schrödinger-Poisson systems.

Authors :
Li, Wang
Rădulescu, Vicenţiu D.
Zhang, Binlin
Source :
Journal of Mathematical Physics. Jan2019, Vol. 60 Issue 1, pN.PAG-N.PAG. 18p.
Publication Year :
2019

Abstract

In this paper, we study the existence of infinitely many solutions for a fractional Kirchhoff–Schrödinger–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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00222488
Volume :
60
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Physics
Publication Type :
Academic Journal
Accession number :
134425576
Full Text :
https://doi.org/10.1063/1.5019677