Alex H. Ardila
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.
Submitted July 15, 2016. Published December 28, 2016.
Math Subject Classifications: 35Q55, 35A15, 35B35.
Key Words: Logarithmic Schrodinger equation; standing waves;
orbital stability; variational method.
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Alex H. Ardila Department of Mathematics IME-USP, Cidade Universitária CEP 05508-090, São Paulo, SP, Brazil email: alexha@ime.usp.br |
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