Nonradial normalized solutions for nonlinear scalar field equations
We study the following nonlinear scalar field equation Here , m > 0 is a given constant and arises as a Lagrange multiplier. In a mass subcritical case but under general assumptions on the nonlinearity f , we show the existence of one nonradial solution for any , and obtain multiple (sometimes...
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Veröffentlicht in: | Nonlinearity 2019-12, Vol.32 (12), p.4942-4966 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We study the following nonlinear scalar field equation Here , m > 0 is a given constant and arises as a Lagrange multiplier. In a mass subcritical case but under general assumptions on the nonlinearity f , we show the existence of one nonradial solution for any , and obtain multiple (sometimes infinitely many) nonradial solutions when N = 4 or . In particular, all these solutions are sign-changing. |
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ISSN: | 0951-7715 1361-6544 |
DOI: | 10.1088/1361-6544/ab435e |