Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
| dc.contributor.author | Chen, Jianqing | |
| dc.contributor.author | Huang, Lirong | |
| dc.contributor.author | Rocha, Eugenio M. | |
| dc.date.accessioned | 2021-10-25T20:25:51Z | |
| dc.date.available | 2021-10-25T20:25:51Z | |
| dc.date.issued | 2019-02-18 | |
| dc.description.abstract | This article concerns the existence of ground state and bound states, and the study of their bifurcation properties for the Schrödinger-Poisson system -Δu + u + φu = |u|4u + µh(x)u, -Δφ = u2 in ℝ3. Under suitable assumptions on the coefficient h(x), we prove that the ground state must bifurcate from zero, and that another bound state bifurcates from a solution, when µ = µ1 is the first eigenvalue of -Δu + u = µh(x)u in H1(ℝ3). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, J., Huang, L., & Rocha, E. M. (2019). Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent. <i>Electronic Journal of Differential Equations, 2019</i>(28), pp. 1-23. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14725 | |
| 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Ground state and bound states | |
| dc.subject | Bifurcation properties | |
| dc.subject | Schrödinger-Poisson system | |
| dc.subject | Variational method | |
| dc.title | Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent | |
| dc.type | Article |