Fractional Schrödinger-Poisson systems with weighted Hardy potential and critical exponent
| dc.contributor.author | Su, Yu | |
| dc.contributor.author | Chen, Haibo | |
| dc.contributor.author | Liu, Senli | |
| dc.contributor.author | Fang, Xianwen | |
| dc.date.accessioned | 2021-08-27T19:25:26Z | |
| dc.date.available | 2021-08-27T19:25:26Z | |
| dc.date.issued | 2020-01-06 | |
| dc.description.abstract | In this article we consider the fractional Schrödinger-Poisson system (-Δ)su - μ Φ(x/|x|)/|x|2s u + λφu = |u|2*s-2u, in ℝ3, (-Δ)tφ = u2, in ℝ3, where s ∈ (0, 3/4), t ∈ (0, 1), 2t + 4s = 3, λ > 0 and 2*s = 6/(3-2s) is the Sobolev critical exponent. By using perturbation method, we establish the existence of a solution for λ small enough. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Su, Y., Chen, H., Liu, S., & Fang, X. (2020). Fractional Schrödinger-Poisson systems with weighted Hardy potential and critical exponent. <i>Electronic Journal of Differential Equations, 2020</i>(01), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14481 | |
| 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 | Fractional Schrödinger-Poisson system | |
| dc.subject | Weighted Hardy potential | |
| dc.subject | Critical exponent | |
| dc.title | Fractional Schrödinger-Poisson systems with weighted Hardy potential and critical exponent | |
| dc.type | Article |