Stationary quantum Zakharov systems involving a higher competing perturbation
| dc.contributor.author | Yao, Shuai | |
| dc.contributor.author | Sun, Juntao | |
| dc.contributor.author | Wu, Tsung-fang | |
| dc.date.accessioned | 2021-09-17T19:29:39Z | |
| dc.date.available | 2021-09-17T19:29:39Z | |
| dc.date.issued | 2020-01-10 | |
| dc.description.abstract | We consider the stationary quantum Zakharov system with a higher competing perturbation Δ2u - Δu + λV(x)u = K(x)uφ - μ|u|p-2u in ℝ3, -Δφ + φ = K(x)u2 in ℝ3, where λ > 0, μ > 0, p > 4 and functions V and K are both nonnegative. Such problem can not be studied via the common arguments in variational methods, since Palais-Smale sequences may not be bounded. Using a constraint approach proposed by us recently, we prove the existence, multiplicity and concentration of nontrivial solutions for the above problem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Yao, S., Sun, J., & Wu, T. F. (2020). Stationary quantum Zakharov systems involving a higher competing perturbation. <i>Electronic Journal of Differential Equations, 2020</i>(06), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14502 | |
| 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 | Quantum Zakharov system | |
| dc.subject | Variational methods | |
| dc.subject | Multiple solutions | |
| dc.title | Stationary quantum Zakharov systems involving a higher competing perturbation | en_US |
| dc.type | Article |