TY  - JOUR
A1  - Csobo, Elek
T1  - Existence and orbital stability of standing waves to a nonlinear Schrödinger equation with inverse square potential on the half-line
T2  - Nonlinear differential equations and applications
N2  - 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.
KW  - Nonlinear Schrödinger equation
KW  - Hardy’s inequality
KW  - Standing waves
KW  - Orbital stability
Y1  - 2021
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/63594
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-635942
SN  - 1420-9004
N1  - Open Access funding enabled and organized by Projekt DEAL.
VL  - 28
IS  - 5, art. 54
SP  - 1
EP  - 32
PB  - [Springer International Publishing AG]
CY  - [Cham (ZG)]
ER  -