Schrödinger-Poisson systems with singular potential and critical exponent
| dc.contributor.author | Liu, Senli | |
| dc.contributor.author | Chen, Haibo | |
| dc.contributor.author | Feng, Zhaosheng | |
| dc.date.accessioned | 2021-10-13T13:52:56Z | |
| dc.date.available | 2021-10-13T13:52:56Z | |
| dc.date.issued | 2020-12-26 | |
| dc.description.abstract | In this article we study the Schrödinger-Poisson system -Δu + V(|x|)u + λφu = ƒ(u), x ∈ ℝ3, -Δφ = u2, x ∈ ℝ3 where V is a singular potential with the parameter α and the nonlinearity ƒ satisfies critical growth. By applying a generalized version of Lions-type theorem and the Nehari manifold theory, we establish the existence of the nonnegative ground state solution when λ = 0. By the perturbation method, we obtain a nontrivial solution to above system when λ ≠ 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, S., Chen, H., & Feng, Z. (2020). Schrödinger-Poisson systems with singular potential and critical exponent. Electronic Journal of Differential Equations, 2020(130), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14641 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Schrödinger-Poisson system | |
| dc.subject | Lions-type theorem | |
| dc.subject | Singular potential | |
| dc.subject | Ground state solution | |
| dc.subject | Critical exponent | |
| dc.title | Schrödinger-Poisson systems with singular potential and critical exponent | |
| dc.type | Article |