Investigative analysis shows that normalized solutions exist in fractional Schrödinger–Poisson systems, suggesting significant insights for mathematical physics.
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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Guo et al. (2026) studied this question.
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