Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
We extend Chen, Wei and Yan’s constructions of families of solutions with unbounded energies [5] to the case of cubic nonlinear Schrödinger equations in the optimal dimension four.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-08-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2017-0085 |
| _version_ | 1818907882778787840 |
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| author | Vétois Jérôme Wang Shaodong |
| author_facet | Vétois Jérôme Wang Shaodong |
| author_sort | Vétois Jérôme |
| collection | DOAJ |
| description | We extend Chen, Wei and Yan’s constructions of families of solutions with unbounded energies [5] to the case of cubic nonlinear Schrödinger equations in the optimal dimension four. |
| first_indexed | 2024-12-19T22:02:11Z |
| format | Article |
| id | doaj.art-e625b38df0554d5383a0aac83865be48 |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-19T22:02:11Z |
| publishDate | 2017-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-e625b38df0554d5383a0aac83865be482022-12-21T20:04:08ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2017-08-018171572410.1515/anona-2017-0085anona-2017-0085Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension fourVétois Jérôme0Wang Shaodong1Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec H3A 0B9, CanadaDepartment of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec H3A 0B9, CanadaWe extend Chen, Wei and Yan’s constructions of families of solutions with unbounded energies [5] to the case of cubic nonlinear Schrödinger equations in the optimal dimension four.https://doi.org/10.1515/anona-2017-0085nonlinear schrödinger equationsblowing-up solutionsunbounded energies35j61 |
| spellingShingle | Vétois Jérôme Wang Shaodong Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four Advances in Nonlinear Analysis nonlinear schrödinger equations blowing-up solutions unbounded energies 35j61 |
| title | Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four |
| title_full | Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four |
| title_fullStr | Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four |
| title_full_unstemmed | Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four |
| title_short | Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four |
| title_sort | infinitely many solutions for cubic nonlinear schrodinger equations in dimension four |
| topic | nonlinear schrödinger equations blowing-up solutions unbounded energies 35j61 |
| url | https://doi.org/10.1515/anona-2017-0085 |
| work_keys_str_mv | AT vetoisjerome infinitelymanysolutionsforcubicnonlinearschrodingerequationsindimensionfour AT wangshaodong infinitelymanysolutionsforcubicnonlinearschrodingerequationsindimensionfour |