Semi-classical states for Schrödinger-Poisson systems on R^3
| dc.contributor.author | Zhu, Hongbo | |
| dc.date.accessioned | 2023-06-16T17:09:04Z | |
| dc.date.available | 2023-06-16T17:09:04Z | |
| dc.date.issued | 2016-03-17 | |
| dc.description.abstract | In this article, we study the nonlinear Schrödinger-Poisson equation -ε2∆u + V(x)u + φ(x)u = ƒ(u), x ∈ ℝ3, -ε2∆φ = u2, lim |x|→∞ φ(x) = 0. Under suitable assumptions on V(x) and ƒ(x), we prove the existence of ground state solution around local minima of the potential V(x) as ε → 0. Also, we show the exponential decay of ground state solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhu, H. (2016). Semi-classical states for Schrödinger-Poisson systems on R^3. <i>Electronic Journal of Differential Equations, 2016</i>(75), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16947 | |
| 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, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Schrödinger-Poisson system | |
| dc.subject | Semi-classical states | |
| dc.subject | Variational method | |
| dc.title | Semi-classical states for Schrödinger-Poisson systems on R^3 | |
| dc.type | Article |