Normalized solutions for a coupled fractional schrodinger system in low dimensions

2020/01/06 by Meng Li, Jinchun He, Li, Meng +5
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2001.01417

openalex publication_date 2020/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the following coupled fractional Schrödinger system: \ \beginaligned amp;(-Δ)^su+λ₁u=μ₁|u|^2p-2u+β|v|^p|u|^p-2u
amp;(-Δ)^sv+λ₂v=μ₂|v|^2p-2v+β|u|^p|v|^p-2v
\endaligned .\quadin~ℝ^N, with 00 .

Citations

• The Pohozaev Identity for the Fractional Laplacian
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Normalized ground states for the NLS equation with combined nonlinearities

Related

• Normalized solutions to Schrödinger systems with linear and nonlinear couplings
• Existence of normalized solutions for fractional coupled Hartree-Fock type system
• Normalized bound state solutions for the fractional Schrödinger equation with potential
• Normalized bound state solutions of fractional Schrödinger equations with general potential
• Nonlinear Fractional Schrödinger Equations coupled by power-type nonlinearities