Accepted Paper

Inserted: 2 jan 2018
Last Updated: 7 apr 2019

Journal: Asymptotic Anal.
Year: 2019

Abstract:

In this paper, by using a compactness method, we study the Cauchy problem of the logarithmic Schrodinger equation with harmonic potential. We then address the existence of ground states solutions as minimizers of the action on the Nehari manifold. Finally, we explicitly compute ground states (Gausson-type solution) and we show their orbital stability.

Keywords: Logarithmic Schr\"{o}dinger equation; harmonic potential; stability

Download:

• harmonic-finalAA.pdf