Infinitely many negative energy solutions for fractional Schrödinger–Poisson systems

Infinitely many negative energy solutions for fractional Schrödinger–Poisson systems

We consider the following fractional Schrödinger–Poisson system (−Δ)su+V(x)u+ϕu=f(u),inR3,(−Δ)sϕ=u2,inR3,where s∈(12,1) is a fixed constant, f is continuous, sublinear at the origin and subcritical at infinity. Applying the Clark’s theorem and truncation method, we can obtain a sequence of negative...

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Veröffentlicht in:Applied mathematics letters 2025-03, Vol.162, p.109389, Article 109389
Hauptverfasser: Zeng, Anbiao, Gu, Guangze
Format: Artikel
Sprache:eng
Schlagworte:
Fractional Schrödinger equation
Variational methods
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Zusammenfassung:We consider the following fractional Schrödinger–Poisson system (−Δ)su+V(x)u+ϕu=f(u),inR3,(−Δ)sϕ=u2,inR3,where s∈(12,1) is a fixed constant, f is continuous, sublinear at the origin and subcritical at infinity. Applying the Clark’s theorem and truncation method, we can obtain a sequence of negative energy solutions.
ISSN:0893-9659
DOI:10.1016/j.aml.2024.109389