MULTIPLE SOLUTIONS FOR A NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH CRITICAL EXPONENT

Li-Jun Zhu; Jia-Feng Liao

doi:10.11948/20210062

2022 Volume 12 Issue 5

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Li-Jun Zhu, Jia-Feng Liao. MULTIPLE SOLUTIONS FOR A NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH CRITICAL EXPONENT[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1702-1712. doi: 10.11948/20210062

Citation:

Li-Jun Zhu, Jia-Feng Liao. MULTIPLE SOLUTIONS FOR A NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH CRITICAL EXPONENT[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1702-1712. doi: 10.11948/20210062

MULTIPLE SOLUTIONS FOR A NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH CRITICAL EXPONENT

Li-Jun Zhu¹,
Jia-Feng Liao^1,2, ,

1.
School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637009, China
2.
College of Mathematics Education, China West Normal University, Nanchong, Sichuan 637009, China

Corresponding author: Email: liaojiafeng@163.com(J.-F. Liao)

Abstract

Abstract

In this paper, a nonhomogeneous Schrödinger-Poisson system with critical exponent was considered. By using the Mountain Pass Theorem and variational method, two positive solutions were obtained for the system which generalize and improve some recent results in the literature.
- Schrödinger-Poisson system /
- critical exponent /
- variational method /
- mountain pass theorem
MSC: 35B33, 35J20, 35J60

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References

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