Stability and instability of standing waves for the Schrödinger-Choquard equation with mixed fractional Laplacians
Abstract
In this paper, we investigate the stability and instability of standing waves for the Schrödinger-Choquard equation with mixed fractional Laplacians. We first establish the existence and stability of normalized standing waves in the $ L^2 $-subcritical case. Subsequently, we prove the existence and strong instability of normalized ground state standing waves in the $ L^2 $-supercritical case.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Communications in Analysis and Mechanics
- Volume
- 18
- Issue
- 1
- Pages
- 117–141
- Publication date
- 1 January 2026