On a Coupled Schrödinger System with Stein–Weiss Type Convolution Part

On a Coupled Schrödinger System with Stein–Weiss Type Convolution Part

In this paper, we are interested in a coupled Schrödinger system with Stein–Weiss type convolution part. Firstly we study the existence and nonexistence of the solutions by variational methods. Second, by changing the system into an equivalent integral form, we study the symmetry, regularity and asy...

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Veröffentlicht in:The Journal of Geometric Analysis 2021-10, Vol.31 (10), p.10263-10303
Hauptverfasser: Yang, Minbo, Zhou, Xianmei
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Asymptotic properties
Convex and Discrete Geometry
Convolution
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Variational methods
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Beschreibung
Zusammenfassung:In this paper, we are interested in a coupled Schrödinger system with Stein–Weiss type convolution part. Firstly we study the existence and nonexistence of the solutions by variational methods. Second, by changing the system into an equivalent integral form, we study the symmetry, regularity and asymptotic behaviors of the solutions by moving plane arguments.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-021-00645-w