Classification of nonnegative solutions to static Schrödinger–Hartree–Maxwell system involving the fractional Laplacian

Classification of nonnegative solutions to static Schrödinger–Hartree–Maxwell system involving the fractional Laplacian

Abstract This paper is mainly concerned with the following semi-linear system involving the fractional Laplacian: { ( − Δ ) α 2 u ( x ) = ( 1 | ⋅ | σ ∗ v p 1 ) v p 2 ( x ) , x ∈ R n , ( − Δ ) α 2 v ( x ) = ( 1 | ⋅ | σ ∗ u q 1 ) u q 2 ( x ) , x ∈ R n , u ( x ) ≥ 0 , v ( x ) ≥ 0 , x ∈ R n , $$ \textst...

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Bibliographic Details
Main Authors: Yunting Li, Yaqiong Liu, Yunhui Yi
Format: Article
Language:English
Published: SpringerOpen 2021-11-01
Series:Boundary Value Problems
Subjects:
Fractional Laplacians
Nonnegative solutions
Nonlocal nonlinearities
Direct method of moving spheres
Online Access:https://doi.org/10.1186/s13661-021-01568-9

Internet

https://doi.org/10.1186/s13661-021-01568-9

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