Ground state solutions for asymptotically periodic Schrödinger-Poisson systems in R^2
| dc.contributor.author | Chen, Jing | |
| dc.contributor.author | Chen, Sitong | |
| dc.contributor.author | Tang, Xianhua | |
| dc.date.accessioned | 2022-03-10T20:20:55Z | |
| dc.date.available | 2022-03-10T20:20:55Z | |
| dc.date.issued | 2018-11-27 | |
| dc.description.abstract | This article concerns the planar Schrödinger-Poisson system -∆u + V(x)u + φu = ƒ(x, u), x ∈ ℝ2, ∆φ = u2, x ∈ ℝ2, where V(x) and ƒ(x, u) are periodic or asymptotically periodic in x. By combining the variational approach, the non-Nehari manifold approach and new analytic techniques, we establish the existence of ground state solutions for the above problem in the periodic and asymptotically periodic cases. In particular, in our study, ƒ is not required to satisfy the Ambrosetti-Rabinowitz type condition or the Nehari-type monotonic condition. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, J., Chen, S., & Tang, X. (2018). Ground state solutions for asymptotically periodic Schrödinger-Poisson systems in R^2. <i>Electronic Journal of Differential Equations, 2018</i>(192), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15488 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Planar Schrödinger-Poisson system | |
| dc.subject | Ground state solution | |
| dc.subject | Logarithmic convolution potential | |
| dc.title | Ground state solutions for asymptotically periodic Schrödinger-Poisson systems in R^2 | |
| dc.type | Article |