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<p>We study the existence of normalized solutions for fractional Schrödinger–Poisson systemswith doubly critical growth.Under fairly general assumptions on <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$ f $</EquationSource> </InlineEquation>, with the aid of the Pohozaevmanifold and the concentration-compactness principle, we show that there exists a normalized ground state solution for the fractional Schrödinger system when the prescribed mass <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$ m $</EquationSource> </InlineEquation> is sufficiently large.</p>

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

  • 期刊论文

  • 发表日期：

    2026年3月28日

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  • Z. Guo,
  • C. Fu

摘要

We study the existence of normalized solutions for fractional Schrödinger–Poisson systemswith doubly critical growth.Under fairly general assumptions on $ f $ , with the aid of the Pohozaevmanifold 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.