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Orbital stability of Gausson solutions to logarithmic Schrödinger equations

Alex Javier Hernandez Ardila

2016 · 30 citations · 7 references

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Abstract

In this paper we present a proof of the orbital stability of ground state for logarithmic Schrödinger equation in any dimension and under nonradial perturbations.

References

7

Orbital stability of standing waves for some nonlinear Schr�dinger equations

Thierry Cazenave, Pierre‐Louis Lions · Communications in Mathematical Physics · 1982 · 1.1K citations

, , +11

Nonlinear wave mechanics

Iwo Białynicki‐Birula, Jerzy Mycielski · Annals of Physics · 1976 · 758 citations

Stable standing waves of nonlinear Klein-Gordon equations

Jalal Shatah · Communications in Mathematical Physics · 1983 · 225 citations

, , +12

Logarithmic nonlinearity in theories of quantum gravity: Origin of time and observational consequences

Konstantin G. Zloshchastiev · Gravitation and Cosmology · 2010 · 204 citations · Full text

, , +16

Multiple solutions to logarithmic Schrödinger equations with periodic potential

Marco Squassina, Andrzej Szulkin · Calculus of Variations and Partial Differential Equations · 2014 · 153 citations

, , +9