Existence and orbital stability of standing waves to a nonlinear Schrödinger equation with inverse square potential on the half-line
- In our work, we establish the existence of standing waves to a nonlinear Schrödinger equation with inverse-square potential on the half-line. We apply a profile decomposition argument to overcome the difficulty arising from the non-compactness of the setting. We obtain convergent minimizing sequences by comparing the problem to the problem at “infinity” (i.e., the equation without inverse square potential). Finally, we establish orbital stability/instability of the standing wave solution for mass subcritical and supercritical nonlinearities respectively.
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| Author: | Elek Csobo |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-635942 |
| DOI: | https://doi.org/10.1007/s00030-021-00711-w |
| ISSN: | 1420-9004 |
| Parent Title (English): | Nonlinear differential equations and applications |
| Publisher: | [Springer International Publishing AG] |
| Place of publication: | [Cham (ZG)] |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2021/08/03 |
| Date of first Publication: | 2021/08/03 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2022/05/10 |
| Tag: | Hardy’s inequality; Nonlinear Schrödinger equation; Orbital stability; Standing waves |
| Volume: | 28 |
| Issue: | 5, art. 54 |
| Page Number: | 32 |
| First Page: | 1 |
| Last Page: | 32 |
| Note: | Open Access funding enabled and organized by Projekt DEAL. |
| HeBIS-PPN: | 496021389 |
| Institutes: | Informatik und Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - Namensnennung 4.0 |
