Infinitely many positive solutions for nonlinear fractional Schrödinger equations

2014/02/09 by Long Wei, Shuangjie Peng, Long, Wei +3
Mathematics · #35J20 #35J60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1402.1902

openalex publication_date 2014/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the following nonlinear fractional Schrödinger equation (-Δ)^su+u=K(|x|)u^p, ugt;0 \hboxin R^N, where K(|x|) is a positive radial function, N≥ 2, 0

Citations

• Uniqueness of positive solutions of Δu−u+up=0 in Rn
• Uniqueness of Radial Solutions for the Fractional Laplacian

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