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Zhang, Z., Liu, J. and Sun, H. (2024) Existence and Asymptotical Behavior of L²-Normalized Standing Wave Solutions to HLS Lower Critical Choquard Equation with a Nonlocal Perturbation. Qualitative Theory of Dynamical Systems, 23, Article No. 206.
https://doi.org/10.1007/s12346-024-01060-6

has been cited by the following article:

• TITLE: Normalized Solutions to Fractional Kirchhoff-Choquard Type Equations with the Lower Critical Exponent

  AUTHORS: Haojia Zhang

  KEYWORDS: Fractional Kirchhoff-Choquard Equation, Normalized Solution, Lower Critical Exponent

  JOURNAL NAME: Open Access Library Journal, Vol.12 No.9, September 25, 2025

  ABSTRACT: This paper is concerned with the normalized ground states to the following lower critical fractional Kirchhoff-Choquard type equations under the constraint ∫ ℝ N | u | 2 dx = c 2 , ( a+b ∫ ℝ N | ( −Δ ) s 2 u | 2 dx ) ( −Δ ) s u−λu =( I θ ∗ | u | N+θ N ) | u | N+θ N −2 u+μ( I θ ∗ | u | q ) | u | q−2 u   in  ℝ N , where s∈( 0,1 ) , N∈( 2,4 ] , θ∈( 0,N ) , a,b,c,μ>0 , q∈( N+θ N , N+θ+2s N ) , λ∈ℝ appears as a Lagrange multiplier and I θ is the Riesz potential. Using the constraint variational method, we establish the existence of normalized ground states and analyze their asymptotic properties as μ→ 0 + or c→ 0 + .