The existence and multiplicity of L 2-normalized solutions to nonlinear Schrödinger equations with variable coefficients

The existence of L 2–normalized solutions is studied for the equation −Δu+μu=f(x,u)  inRN,∫RNu2dx=m. $-{\Delta}u+\mu u=f\left(x,u\right)\quad \quad \text{in} {\mathbf{R}}^{N},\quad {\int }_{{\mathbf{R}}^{N}}{u}^{2} \mathrm{d}x=m.$ Here m > 0 and f(x, s) are given, f(x, s) has the L 2-subcritical...

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Main Authors: Ikoma Norihisa, Yamanobe Mizuki
格式: 文件
语言:English
出版: De Gruyter 2024-03-01
丛编:Advanced Nonlinear Studies
主题:
在线阅读:https://doi.org/10.1515/ans-2022-0056