Lanxin Huang, Jiabao Su
Abstract:
This article concerns the existence of solutions to the Schrodinger-Poisson system
where 4/3<p<12/5, p<q<p*=3p/(3-p), Δp u
=div(|∇u|p-2∇ u), λ>0, and h not 0.
The multiplicity results are obtained by using Ekeland's variational principle
and the mountain pass theorem.
Submitted July 8, 2022. Published March 11, 2023.
Math Subject Classifications: 35J10, 35J50, 35J60, 35J92.
Key Words: Nonhomogeneous Schrodinger-Poisson system; variational methods;
multiple solutions; p-Laplacian.
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Lanxin Huang School of Mathematical Sciences Capital Normal University Beijing 100048, China email: 812419761@qq.com |
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Jiabao Su School of Mathematical Sciences Capital Normal University Beijing 100048, China email: sujb@cnu.edu.cn |
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