Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrödinger equations

Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrödinger equations

We study the existence and orbital stability of normalized solutions of the biharmonic equation with the mixed dispersion and a general nonlinear term $ \begin{equation*} \gamma\Delta^2u-\beta\Delta u+\lambda u = f(u), \quad x\in\mathbb{R}^N \end{equation*} $ with a priori prescribed $ L^2 $-n...

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Bibliographic Details
Main Authors: Haijun Luo, Zhitao Zhang
Format: Article
Language:English
Published: AIMS Press 2022-05-01
Series:Electronic Research Archive
Subjects:
biharmonic nonlinear schrödinger equations
normalized solution
orbital stability
general nonlinearity
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022146?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2022146?viewType=HTML

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