INFINITELY MANY SOLUTIONS FOR A QUASILINEAR KIRCHHOFF-TYPE EQUATION WITH HARTREE-TYPE NONLINEARITIES

Chuanxi Zhu; Li Zhou

doi:10.11948/20210416

2022 Volume 12 Issue 5

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Chuanxi Zhu, Li Zhou. INFINITELY MANY SOLUTIONS FOR A QUASILINEAR KIRCHHOFF-TYPE EQUATION WITH HARTREE-TYPE NONLINEARITIES[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1987-1996. doi: 10.11948/20210416

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Chuanxi Zhu, Li Zhou. INFINITELY MANY SOLUTIONS FOR A QUASILINEAR KIRCHHOFF-TYPE EQUATION WITH HARTREE-TYPE NONLINEARITIES[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1987-1996. doi: 10.11948/20210416

INFINITELY MANY SOLUTIONS FOR A QUASILINEAR KIRCHHOFF-TYPE EQUATION WITH HARTREE-TYPE NONLINEARITIES

Chuanxi Zhu^1,3, ,,
Li Zhou^2,3, ,

1.
School of Mathematics, Dalian University of Technology, Dalian, Liaoning, 116024, China
2.
Zhejiang University of Science & Technology, Hangzhou, Zhejiang, 310023, China
3.
Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, China

Corresponding authors: Email: chuanxizhu@126.com(C. Zhu); Email: 397621669@qq.com(L. Zhou)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11771198, 11901276) and Science and Technology project of Education Department of Jiangxi Province (No. GJJ218406)

Abstract

Abstract

In this paper, we consider a new kind of Kirchhoff-type equation with Hartree-type nonlinearities which is stated in the introduction. Under certain assumptions on g(u), we prove that the equation has infinitely many solutions by variational methods.
- Kirchhoff-type quasilinear equation /
- infinitely many solutions /
- change of variables
MSC: 35J60, 35J20

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References

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