Infinitely many solutions for fractional Schrödinger-Poisson systems with sign-changing potential
| dc.contributor.author | Chen, Jianhua | |
| dc.contributor.author | Tang, Xianhua | |
| dc.contributor.author | Luo, Huxiao | |
| dc.date.accessioned | 2022-04-08T19:45:26Z | |
| dc.date.available | 2022-04-08T19:45:26Z | |
| dc.date.issued | 2017-04-05 | |
| dc.description.abstract | In this article, we prove the existence of multiple solutions for following fractional Schrödinger-Poisson system with sign-changing potential (-∆)su + V(x)u + λφu = ƒ(x, u), x ∈ ℝ3, (-∆)tφ = u2, x ∈ ℝ3, where (-∆)α denotes the fractional Laplacian of order α ∈ (0, 1), and the potential V is allowed to be sign-changing. Under certain assumptions on ƒ, we obtain infinitely many solutions for this system. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, J., Tang, X., & Luo, H. (2017). Infinitely many solutions for fractional Schrödinger-Poisson systems with sign-changing potential. <i>Electronic Journal of Differential Equations, 2017</i>(97), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15629 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional Schrödinger-Poisson systems | |
| dc.subject | Sign-changing potential | |
| dc.subject | Symmetric mountain pass theorem | |
| dc.subject | Infinitely many solutions | |
| dc.title | Infinitely many solutions for fractional Schrödinger-Poisson systems with sign-changing potential | |
| dc.type | Article |