@article{Li2026, 
author = {Yupeng Li and Binhua Feng and Zhiqian He},
title = {Stability and instability of standing waves for the Schrödinger-Choquard equation with mixed fractional Laplacians},
year = {2026},
journal = {Communications in Analysis and Mechanics},
volume = {18},
number = {1},
pages = {117-141},
keywords = {standing waves, stability, instability, mixed fractional Laplacians, ground state},
url = {https://www.sciopen.com/article/10.3934/cam.2026005},
doi = {10.3934/cam.2026005},
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.}
}