Multiplicity of solutions for a fractional Schrödinger-Poisson system without (PS) condition

DOI10.3934/math.2021525zbMath1485.35157OpenAlexW3175979083MaRDI QIDQ2130923

Tiankun Jin

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021525

zbMATH Keywords

variational methodsvariant Fountain theoremfractional Schrödinger-Poisson equation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlocal diffusion and applications
• Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
• Hitchhiker's guide to the fractional Sobolev spaces
• Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
• Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations
• Schrödinger-Poisson system with steep potential well
• On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
• On Schrödinger-Poisson systems
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Fractional quantum mechanics and Lévy path integrals
• The existence and multiplicity of solutions of a fractional Schrödinger-Poisson system with critical growth
• On the impossibility of arbitrary deformations in nonlinear elasticity
• Solutions of Hartree-Fock equations for Coulomb systems
• Minimax theorems
• Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
• Concentration results for a magnetic Schrödinger-Poisson system with critical growth
• Dual variational methods in critical point theory and applications
• Existence result for fractional Schrödinger-Poisson systems involving a Bessel operator without Ambrosetti-Rabinowitz condition
• Existence of non-trivial solutions for nonlinear fractional Schrödinger-Poisson equations
• \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities
• Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• Fractional Schrodinger-Poisson Equations With General Nonlinearities
• Variational Methods for Nonlocal Fractional Problems
• Combined effects for fractional Schrödinger–Kirchhoff systems with critical nonlinearities
• THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS
• Concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system involving critical exponent
• The concentration behavior of ground state solutions for a critical fractional Schrödinger–Poisson system
• Variant fountain theorems and their applications

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