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math.AP2025
Existence and multiplicity of -Normalized solutions for the periodic Schrödinger system of Hamiltonian type
Ruowen Qiu, Yuanyang Yu, Fukun Zhao
In this paper, we study the following nonlinear Schrödinger system of Hamiltonian type \begin{equation*} \left\{\begin{array}{l} -Δu+V(x)u=\partial_v H(x,u,v)+ωv, \ x \in \mathbb{R…
math.AP2025
Critical fractional Kirchhoff problems: Uniqueness and Nondegeneracy
Zhipeng Yang, Yuanyang Yu
In this paper, we consider the following critical fractional Kirchhoff equation \begin{equation*} \Big(a+b{\int_{\mathbb{R}^{N}}}|(-Δ)^{\frac{s}{2}}u|^2dx\Big)(-Δ)^su=|u|^{2^*_s-2}…