Positive solutions of Schrödinger-Poisson systems with Hardy potential and indefinite nonlinearity
| dc.contributor.author | Lan, Yongyi | |
| dc.contributor.author | Tang, Biyun | |
| dc.contributor.author | Hu, Xian | |
| dc.date.accessioned | 2021-09-29T15:08:35Z | |
| dc.date.available | 2021-09-29T15:08:35Z | |
| dc.date.issued | 2020-05-21 | |
| dc.description.abstract | In this article, we study the nonlinear Schrödinger-Poisson system -Δu + u - μ u/|x|2 + l(x)φu = k(x)|u|p-2u x ∈ ℝ3, -Δφ = l(x)u2 x ∈ ℝ3, where k ∈ C(ℝ3) and 4 < p < 6, k changes sign in ℝ3 and lim sup|x|→∞ k(x) = k∞ < 0. We prove that Schrödinger-Poisson systems with Hardy potential and indefinite nonlinearity have at least one positive solution, using variational methods. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lan, Y., Tang, B., & Hu, X. (2020). Positive solutions of Schrodinger-Poisson systems with Hardy potential and indefinite nonlinearity. <i>Electronic Journal of Differential Equations, 2020</i>(47), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14554 | |
| 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 | Hardy potential | |
| dc.subject | Variational methods | |
| dc.subject | Indefinite nonlinearity | |
| dc.subject | Positive solution | |
| dc.title | Positive solutions of Schrödinger-Poisson systems with Hardy potential and indefinite nonlinearity | |
| dc.type | Article |