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.

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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
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article

Existence of Normalized Solutions for Sobolev Critical Fractional Schrödinger–Poisson Systems

Z. Guo, C. Fu
Siberian Mathematical Journal
Nonlinear Partial Differential Equations
article

Existence of Normalized Solutions for Sobolev Critical Fractional Schrödinger–Poisson Systems

Z. Guo, C. Fu
article en

Abstract

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.

Siberian Mathematical JournalVol. 67(2)
Liaoning Normal University (CN)
Openalex Percentile: Top 2%
Nonlinear Partial Differential Equations
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