Existence and non-degeneracy of the normalized spike solutions to the fractional Schrödinger equations

The present study investigates the existence and non-degeneracy of normalized solutions for the following fractional Schrödinger equation: (−Δ)su+V(x)u=aup+μu,x∈RN,u∈Hs(RN){\left(-\Delta )}^{s}u+V\left(x)u=a{u}^{p}+\mu u,\hspace{1.0em}x\in {{\mathbb{R}}}^{N},\hspace{1.0em}u\in {H}^{s}\left({{\mathbb...

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Bibliographic Details
Main Authors: Guo Qing, Zhang Yuhang
Format: Article
Language:English
Published: De Gruyter 2025-03-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2025-0069
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