From the 1 of 7 linked papers with an AI index.
7 papers
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
The paper investigates normalized travelling wave solutions of a pseudo‑relativistic Schrödinger equation with a logarithmic nonlinearity, establishing existence thresholds under a…
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(…
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 Schröd…
Sharp interaction estimates and their application: existence of normalized ground states to coupled Schrödinger systems with potentials
Yinbin Deng, Qihan He, Xuexiu Zhong
In this paper, our aim is to prove the existence of normalized ground state for the following Schrödinger systems with potentials $$\begin{cases} -Îu_1+V_1(x)u_1+λ_1 u_1=\partia…
Existence and multiplicity of normalized solutions for the quasi-linear Schrödinger equations with mixed nonlinearities
Qihan He, Hao Wang
In this paper, we study the existence and multiplicity of the normalized solutions to the following quasi-linear problem \begin{equation*} -Îu-Î(|u|^2)u+λu=|u|^{p-2}u+Ï|u|^{q-2…
Existence and multiplicity of positive solutions to a critical elliptic equation with logarithmic perturbation
Qihan He, Yiqing Pan
We consider the existence and multiplicity of positive solutions for the following critical problem with logarithmic term: \begin{equation*}\label{eq11}\left\{ \begin{array}{ll} -Î…