Positive and sign-changing least energy solutions for a fractional Schrödinger–Poisson system with critical exponent

DOI10.1080/00036811.2018.1557325zbMath1448.35425OpenAlexW2906011624MaRDI QIDQ5120809

Fukun Zhao, Leiga Zhao, Yuanyang Yu

Publication date: 16 September 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1557325

zbMATH Keywords

variational methodssign-changing solutionsfractional Schrödinger-Poisson system

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Critical exponents in context of PDEs (35B33) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) PDEs in connection with quantum mechanics (35Q40) Fractional partial differential equations (35R11)

Related Items (8)

On a fractional Schrödinger-Poisson system with strong singularity ⋮ Least energy sign-changing solutions of fractional Kirchhoff-Schrödinger-Poisson system with critical growth ⋮ Fractional Schrödinger–Poisson system with critical growth and potentials vanishing at infinity ⋮ Unnamed Item ⋮ Existence of ground state solutions for fractional Schrödinger-Poisson systems with doubly critical growth ⋮ FRACTIONAL SCHRÖDINGER–POISSON SYSTEM WITH SINGULARITY: EXISTENCE, UNIQUENESS, AND ASYMPTOTIC BEHAVIOR ⋮ Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents ⋮ Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials

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