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math.AP2026
Impact Mechanism of a Point Interaction in the Cubic Half-Wave Equation: Well-Posedness, Constrained Energy Levels and Near-Critical Rigidity
Xingkai Ju, Yuanhong Wei
We study the one-dimensional nonlinear half-wave equation with a logarithmically renormalized point interaction. The nonlinearity is focusing and cubic, which is mass-critical. We…
math.AP2025
Normalized solutions for the planar Schrödinger-Poisson system with two electrons interaction
Baihong Li, Yuanhong Wei, Xiangjian Zeng
This paper focuses on the normalized solutions for the planar Schrödinger-Poisson system with a two-electron interaction, which models the effect between electrons and the electros…