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math.AP2026
Existence and Limiting Profiles of Normalized Travelling Wave Solutions for the Pseudo-Relativistic Schrödinger Equation with Logarithmic Nonlinearity
Pietro d'Avenia, Qihan He, Alessio Pomponio +1
We study the existence and asymptotic behaviour of normalized solutions to the following pseudo-relativistic Schrödinger equation with logarithmic nonlinearity \[ (\sqrt{-Δ+m^2 }-m…
math.AP2026
Infinitely many multi-peaks solutions for a nonlinear Hartree system
Qihan He, Qingfang Wang
In this paper, we study the following nonlinear Hartree system: for , with $u_i\in H^1(\math…
math.AP2026
Multiple positive solutions with prescribed masses for a coupled Schrödinger system: mass mixed and Sobolev critical coupled case
Qing Guo, Qihan He, Wei Shuai +1
The aim of this paper is to establish multiple positive normalized solutions to the following coupled Schröding…