Normalized Solutions for the Fractional Choquard Equations with Hardy–Littlewood–Sobolev Upper Critical Exponent

Meng, Yuxi; He, Xiaoming

doi:10.1007/s12346-023-00875-z

Qual. Theory Dyn. Syst.

2023

DOI: 10.1007/s12346-023-00875-z

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Normalized Solutions for the Fractional Choquard Equations with Hardy–Littlewood–Sobolev Upper Critical Exponent

Yuxi Meng,

Xiaoming He

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2024

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Cited by 2 publications

References 42 publications

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Normalized Solutions for the Fractional Choquard Equations with Lower Critical Exponent and Nonlocal Perturbation

Chen,

Yang

2024

Taiwanese J. Math.

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Normalized Solutions for the Fractional Choquard Equations with Lower Critical Exponent and Nonlocal Perturbation

Chen,

Yang

2024

Taiwanese J. Math.

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Normalized solutions to a critical growth Choquard equation involving mixed operators

Giacomoni,

Nidhi,

Sreenadh

2024

ASY

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In this paper we study the existence and regularity results of normalized solutions to the following critical growth Choquard equation with mixed diffusion type operators: − Δ u + ( − Δ ) s u = λ u + g ( u ) + ( I α ∗ | u | 2 α ∗ ) | u | 2 α ∗ − 2 u in R N , ∫ R N | u | 2 d x = τ 2 , where N ⩾ 3, τ > 0, I α is the Riesz potential of order α ∈ ( 0 , N ), ( − Δ ) s is the fractional laplacian operator, 2 α ∗ = N + α N − 2 is the critical exponent with respect to the Hardy Littlewood Sobolev inequality, λ appears as a Lagrange multiplier and g is a real valued function satisfying some L 2 -supercritical conditions.

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Normalized Solutions for the Fractional Choquard Equations with Hardy–Littlewood–Sobolev Upper Critical Exponent

Cited by 2 publications

References 42 publications

Normalized Solutions for the Fractional Choquard Equations with Lower Critical Exponent and Nonlocal Perturbation

Normalized Solutions for the Fractional Choquard Equations with Lower Critical Exponent and Nonlocal Perturbation

Normalized solutions to a critical growth Choquard equation involving mixed operators

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