Existence of Normalized Solutions for Sobolev Critical Fractional Schrödinger–Poisson Systems
We study the existence of normalized solutions for fractional Schrödinger–Poisson systems with doubly critical growth. Under fairly general assumptions on $ f $ , with the aid of the Pohozaev manifold and the concentration-compactness principle, we show that there exists a normalized ground state solution for the fractional Schrödinger system when the prescribed mass $ m $ is sufficiently large.
Authors
- Z. Guo
- C. Fu
Institutions
- Liaoning Normal University (CN)
Publication Details
- Journal
- Siberian Mathematical Journal
- Published
- 2026-03-01
- DOI
- https://doi.org/10.1134/s0037446626020175
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00