Non-radial normalized solutions for a nonlinear Schrodinger equation
| dc.contributor.author | Tong, Zhi-Juan | |
| dc.contributor.author | Chen, Jianqing | |
| dc.contributor.author | Wang, Zhi-Qiang | |
| dc.date.accessioned | 2023-05-23T17:40:18Z | |
| dc.date.available | 2023-05-23T17:40:18Z | |
| dc.date.issued | 2023-02-27 | |
| dc.description.abstract | This article concerns the existence of multiple non-radial positive solutions of the L2-constrained problem -Δu - Q(ɛx)|u|p-2u = λu, in ℝN, ∫ℝN |u|2dx = 1, where Q(x) is a radially symmetric function, ε>0 is a small parameter, N≥2, and p in (2, 2+4/N) is assumed to be mass sub-critical. We are interested in the symmetry breaking of the normalized solutions and we prove the existence of multiple non-radial positive solutions as local minimizers of the energy functional. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Tong, Z. J., Chen, J., & Wang, Z. Q. (2023). Non-radial normalized solutions for a nonlinear Schrodinger equation. Electronic Journal of Differential Equations, 2023(19), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16854 | |
| 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Symmetry breaking | |
| dc.subject | Local minimizer | |
| dc.subject | Concentration | |
| dc.subject | Nonlinear Schrödinger equations | |
| dc.title | Non-radial normalized solutions for a nonlinear Schrodinger equation | |
| dc.type | Article |