Existence and concentration of positive ground states for Schrödinger-Poisson equations with competing potential functions
| dc.contributor.author | Wang, Wenbo | |
| dc.contributor.author | Li, Quanqing | |
| dc.date.accessioned | 2021-10-04T13:32:39Z | |
| dc.date.available | 2021-10-04T13:32:39Z | |
| dc.date.issued | 2020-07-22 | |
| dc.description.abstract | This article concerns the Schrödinger-Poisson equation -ε2Δu + V(x)u + K(x)φu = P(x)|u|p-1 u + Q(x)|u|q-1u, x ∈ ℝ3, -ε2Δφ = K(x)u2, x ∈ ℝ3, where 3 < q < p < 5 = 2* - 1. We prove that for all ε > 0, the equation has a ground state solution. The methods used here are based on the Nehari manifold and the concentration-compactness principle. Furthermore, for ε > 0 small, these ground states concentrate at a global minimum point of the least energy function. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, W., & Li, Q. (2020). Existence and concentration of positive ground states for Schrödinger-Poisson equations with competing potential functions. <i>Electronic Journal of Differential Equations, 2020</i>(78), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14585 | |
| 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 equation | |
| dc.subject | Nehari manifold | |
| dc.subject | Ground states | |
| dc.subject | Concentration-compactness | |
| dc.subject | Concentration | |
| dc.title | Existence and concentration of positive ground states for Schrödinger-Poisson equations with competing potential functions | |
| dc.type | Article |