Orbital stability of Gausson solutions to logarithmic Schrodinger equations

Abstract

In this article we prove of the orbital stability of the ground state for logarithmic Schrodinger equation in any dimension and under nonradial perturbations. This general stability result was announced by Cazenave and Lions [9, Remark II.3], but no details were given there.

Keywords

• Logarithmic Schrodinger equation
• standing waves
• orbital stability
• variational method