Existence, characterization and number of ground states for coupled equations
| dc.contributor.author | He, Qihan | |
| dc.contributor.author | Peng, Shuangjie | |
| dc.date.accessioned | 2021-12-06T21:36:42Z | |
| dc.date.available | 2021-12-06T21:36:42Z | |
| dc.date.issued | 2019-11-26 | |
| dc.description.abstract | This article concerns the existence, characterization and number of ground states for the system consisting of m coupled semilinear equations -∆ui + λui = m∑j=1 kij qij / p+1 |uj|pij|ui|qij-2ui, x ∈ Ω, ui ∈ H10(Ω), i = 1, 2, ..., m. We extend the characterization results obtained by Correia [5, 6] to the above problem. Also we give a new characterization of the ground states, which provides a more convenient way for finding or checking ground states. This study may be the first result not only positive ground states but also for semi-trivial ground states, and it shows that the positive ground state is unique for some special cases. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | He, Q., & Peng, S. (2019). Existence, characterization and number of ground states for coupled equations. <i>Electronic Journal of Differential Equations, 2019</i>(127), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15021 | |
| 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 | Coupled equations | |
| dc.subject | Ground states | |
| dc.title | Existence, characterization and number of ground states for coupled equations | |
| dc.type | Article |