Infinitely many solutions for indefinite Kirchhoff equations and Schrödinger–Poisson systems

Jiang, Shuai; Liu, Shibo

doi:10.1016/j.aml.2023.108620

Applied Mathematics Letters

2023

DOI: 10.1016/j.aml.2023.108620

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Infinitely many solutions for indefinite Kirchhoff equations and Schrödinger–Poisson systems

Shuai Jiang

Shibo Liu

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2024

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Bifurcation analysis of fractional Kirchhoff–Schrödinger–Poisson systems in R 3

Wang,

Xing

2024

Electron. J. Qual. Theory Differ. Equ.

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In this paper, we investigate the bifurcation results of the fractional Kirchhoff–Schrödinger–Poisson system { M ( [ u ] s 2 ) ( − Δ ) s u + V ( x ) u + ϕ ( x ) u = λ g ( x ) | u | p − 1 u + | u | 2 s ∗ − 2 u i n R 3 , ( − Δ ) t ϕ ( x ) = u 2 i n R 3 , where s , t ∈ ( 0 , 1 ) with 2 t + 4 s > 3 and the potential function V is a continuous function. We show that the existence of components of (weak) solutions of the above equation bifurcates out from the first eigenvalue λ 1 of the problem ( − Δ ) s u + V ( x ) u = λ g ( x ) u in R 3 . The main feature of this paper is the inclusion of a potentially degenerate Kirchhoff model, combined with the critical nonlinearity.

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Bifurcation analysis of fractional Kirchhoff–Schrödinger–Poisson systems in R 3

Wang,

Xing

2024

Electron. J. Qual. Theory Differ. Equ.

View full text Add to dashboard Cite

show abstract

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Infinitely many solutions for indefinite Kirchhoff equations and Schrödinger–Poisson systems

Cited by 1 publication

References 12 publications

Bifurcation analysis of fractional Kirchhoff–Schrödinger–Poisson systems in R 3

Bifurcation analysis of fractional Kirchhoff–Schrödinger–Poisson systems in R 3

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