Infinitely many solutions for a class of fractional Schrodinger equations coupled with neutral scalar field

2024/02/19 by Liejun Shen, Marco Squassina, Shen, Liejun +3
Engineering · Mathematics · #35J60 #35Q55 #53C35 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2402.12006

openalex publication_date 2024/02/19 · openalex created_date 2024/02/21 · openalex updated_date 2026/07/28

Abstract

We study the fractional Schrödinger equations coupled with a neutral scalar field (-Δ)^s u+V(x)u=K(x)ϕu +g(x)|u|^q-2u, x∈ ℝ³, (I-Δ)^t ϕ=K(x)u², x∈ ℝ³, where (-Δ)^s and (I-Δ)^t denote the fractional Laplacian and Bessel operators with (3)/(4)

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