Filtern
Erscheinungsjahr
- 2021 (1) (entfernen)
Dokumenttyp
Sprache
- Englisch (1)
Volltext vorhanden
- ja (1)
Gehört zur Bibliographie
- nein (1) (entfernen)
Schlagworte
- Hardy’s inequality (1) (entfernen)
Institut
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.