Normalized solutions for the discrete Schrödinger equations

Abstract In the present paper, we consider the existence of solutions with a prescribed l 2 $l^{2}$ -norm for the following discrete Schrödinger equations, { − Δ 2 u k − 1 − f ( u k ) = λ u k k ∈ Z , ∑ k ∈ Z | u k | 2 = α 2 , $$ \textstyle\begin{cases} -\Delta ^{2} u_{k-1}-f(u_{k})= \lambda u_{k} \q...

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Bibliographic Details
Main Authors: Qilin Xie, Huafeng Xiao
Format: Article
Language:English
Published: SpringerOpen 2023-07-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-023-01754-x