贺小明｜中央民族大学｜学者主页

2026

Normalized solutions for the critical Schrödinger-Poisson systems with potentials

Xiaoming He, Wei Liu, Yu-Xi Meng

Advances in Differential Equations

DOI

2026

Multiple Normalized Solutions for L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-Mass Supercrit

Yu-Xi Meng, Xiaoming He, Patrick Winkert

Milan Journal of Mathematics

DOI

2026

Multiple normalized solutions for the fractional autonomous and non-autonomous Kirchhoff equation: The L2-supercritical case

Yu-Xi Meng, Xiaoming He, Wei Liu

Bulletin of Mathematical Sciences

DOI

2026

Multiple normalized solutions to a fractional Kirchhoff equation with L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}

Yu-Xi Meng, Xiaoming He

Journal of Fixed Point Theory and Applications

DOI

2026

Multiple Normalized Solutions for the Quasilinear Sobolev Critical Schrödinger-Poisson System

Meng-Ru Li, Xiaoming He

Journal of Geometric Analysis

DOI

2026

Solutions with prescribed mass for critical Schrödinger–Poisson systems concentrating at a potential well

Qian Gao, Xiaoming He, V. Rǎdulescu

Zeitschrift für Angewandte Mathematik und Physik

DOI

2026

Multiple Normalized Solutions for p-Laplacian Schrödinger–Poisson Systems

Mengru Li, Xiaoming He, Marco Squassina

Asymptotic Analysis

DOI

2026

Normalized solutions for $ p $ -Laplacian equations concentrating at a potential well

Qi Gao, XiaoMing HE

Discrete and Continuous Dynamical Systems - S

DOI

2025

Normalized solutions to Schrödinger systems with critical nonlinearities

Yu-Xi Meng, Xiaoming He, Patrick Winkert

Nonlinear Analysis

DOI

2025

Normalized Solutions for a Sobolev Critical Fractional Schrödinger–Poisson System

Xiaoming He, Michael Melgaard

Journal of Geometric Analysis

DOI

2025

Prescribed L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-Norm Solutions for a Non-autonomous S

Wei Liu, Xiaoming He, Yu-Xi Meng

Journal of Geometric Analysis

DOI

2025

Multiplicity of normalized solutions to a p-Laplacian equation via Ljusternik-Schnirelmann category

Yu-Xi Meng, Xiaoming He

Discrete and Continuous Dynamical Systems. Series A

DOI

2025

Normalized solutions to the p -Laplacian Schrödinger–Poisson system with mass supercritical growth

Kai Liu, Xiaoming He

Bulletin of Mathematical Sciences

DOI

2025

Solutions with prescribed mass for the Sobolev critical Schrödinger–Poisson system with p-Laplacian

Kai Liu, Xiaoming He

Bulletin of Mathematical Sciences

DOI

2024

Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth

Yu-Xi Meng, Xiaoming He

Acta Mathematica Scientia

DOI

2024

Normalized solutions for a fractional Schrödinger–Poisson system with critical growth

Xiaoming He, Yu-Xi Meng, M. Squassina

Calculus of Variations and Partial Differential Equations

DOI

2024

Normalized ground states for the fractional Schrödinger–Poisson system with critical nonlinearities

Yu-Xi Meng, Xiaoming He

Calculus of Variations and Partial Differential Equations

DOI

2024

Multiple bound states for a class of fractional critical Schrödinger–Poisson systems with critical frequency

Xiaoming He, Yu-Xi Meng, Patrick Winkert

Journal of Mathematics and Physics

DOI

2024

Normalized Solutions for Schrödinger–Poisson Type Systems with Critical Nonlocal Term

Jinxia Wu, Xiaoming He

Journal of Geometric Analysis

DOI

2024

Normalized Solutions for Schrödinger–Poisson Systems Involving Critical Sobolev Exponents

Qian Gao, Xiaoming He

Journal of Geometric Analysis

DOI

2024

Normalized solutions for the Choquard equations with critical nonlinearities

Qian Gao, Xiaoming He

Advances in Nonlinear Analysis

DOI

2024

Multiplicity of normalized semi-classical states for a class of nonlinear Choquard equations

Jinxia Wu, Xiaoming He

Advances in Nonlinear Analysis

DOI

2023

Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation

Jia-Li Lan, Xiaoming He, Yu-Xi Meng

Advances in Nonlinear Analysis

DOI

2023

Normalized solutions for the Schrödinger-Poisson system with doubly critical growth

Yu-Xi Meng, Xiaoming He

Topological Methods in Nonlinear Analysis

DOI

2023

Normalized Solutions for the Fractional Choquard Equations with Hardy–Littlewood–Sobolev Upper Critical Exponent

Yu-Xi Meng, Xiaoming He

Qualitative Theory of Dynamical Systems

DOI

2023

Multiplicity of positive solutions for the fractional Schrödinger–Poisson system with critical nonlocal term

Xilin Dou, Xiaoming He, Vicenţiu D. Rădulescu

Bulletin of Mathematical Sciences

DOI

2023

Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term

Xilin Dou, Xiaoming He

Fractional Calculus and Applied Analysis

DOI

2023

On a Fractional Schrödinger–Poisson System with Doubly Critical Growth and a Steep Potential Well

Jiali Lan, Xiaoming He

Journal of Geometric Analysis

DOI

2023

Fractional Schrödinger–Poisson system with critical growth and potentials vanishing at infinity

Xinrui Zhang, Xiaoming He

Mathematische Nachrichten

DOI

2023

Multiplicity of Concentrating Solutions for Choquard Equation with Critical Growth

Yuxi Meng, Xiaoming He

Journal of Geometric Analysis

DOI

2022

Analysis of a low linear perturbed Choquard equation with critical growth

Xinrui Zhang, Yuxi Meng, Xiaoming He

Journal of Fixed Point Theory and Applications

DOI

2022

Normalized Ground States for the Critical Fractional Choquard Equation with a Local Perturbation

Xiaoming He, Vicenţiu D. Rădulescu, Wenming Zou

Journal of Geometric Analysis

DOI

2022

Multiplicity of high energy solutions for fractional Schrodinger-Poisson systems with critical frequency

Siqi Qu, Xiaoming He

Electronic Journal of Differential Equations

DOI

2022

Ground states for critical fractional Schrödinger‐Poisson systems with vanishing potentials

Xilin Dou, Xiaoming He

Mathematical Methods in the Applied Sciences

DOI

2022

Positive Solutions for a Class of Fractional p-Laplacian Equation with Critical Sobolev Exponent and Decaying Potentials

Na Li, Xiaoming He

Acta Mathematicae Applicatae Sinica English Series

DOI

2022

On the number of concentrating solutions of a fractional Schrödinger–Poisson system with doubly critical growth

Siqi Qu, Xiaoming He

Analysis and Mathematical Physics

DOI

2022

The Benci–Cerami problem for the fractional Choquard equation with critical exponent

Xiaoming He, Xin Zhao, Wenming Zou

manuscripta mathematica

DOI

2021

具有临界频率的分数阶薛定谔-泊松系统的半经典基态解的多重性

张鑫瑞，贺小明，屈思琪

《中央民族大学学报(自然科学版)》

2021

Least energy sign-changing solutions for a class of fractional Kirchhoff–Poisson system

Yuxi Meng, Xingrui Zhang, Xiaoming He

Journal of Mathematical Physics

DOI

2021

Positive solutions for fractional Schrödinger–Poisson systems with doubly critical exponents

Xiaoming He

Applied Mathematics Letters

DOI

2021

Small linear perturbations of fractional Choquard equations with critical exponent

Xiaoming He, Vicenţiu D. Rădulescu

Journal of Differential Equations

DOI

2021

Ground state solutions for a class of fractional Schrodinger-Poisson system with critical growth and vanishing potentials

Yuxi Meng, Xinrui Zhang, Xiaoming He

Advances in Nonlinear Analysis

DOI

2020

一类具有临界指数增长的分数阶p-Laplace方程的变分问题

李娜，贺小明

《中央民族大学学报(自然科学版)》

2020

Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schrödinger equations with critical growth

Xiaoming He, Wenming Zou

Science China Mathematics

DOI

2020

Existence and multiplicity results for some Schrödinger-Poisson system with critical growth

Na Li, Xiaoming He

Journal of Mathematical Analysis and Applications

DOI

2019

Ground state solutions for a class of fractional Kirchhoff equations with critical growth

Xiaoming He, Wenming Zou

Science China Mathematics

DOI

2018

Fractional Kirchhoff problem with critical indefinite nonlinearity

João Marcos do Ó, Xiaoming He, Pawan Kumar Mishra

Mathematische Nachrichten

DOI

2018

The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions

Fengqin Lan, Xiaoming He

Nonlinear Analysis

DOI

2018

Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation

Xiaoming He, Wenming Zou

manuscripta mathematica

DOI

2018

Multiplicity of concentrating positive solutions for Schrödinger–Poisson equations with critical growth

Xiaoming He, Wenming Zou

Nonlinear Analysis

DOI

2018

Existence of sign-changing solutions for a class ofp-Laplacian Kirchhoff-type equations

Xiaotian Han, Xiaoyan Ma, Xiaoming He

Complex Variables and Elliptic Equations

DOI

2017

Semiclassical states for weakly coupled fractional Schrödinger systems

Qing Guo, Xiaoming He

Journal of Differential Equations

DOI

2016

一类具衰减位势的Schrdinger-Poisson方程变号基态解的存在性

焦海涛，马晓艳，郭青，贺小明

《应用数学学报》

2016

Semiclassical states for fractional Schrödinger equations with critical growth

Qing Guo, Xiaoming He

Nonlinear Analysis

DOI

2016

Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

Xiaoming He, Wenming Zou

Calculus of Variations and Partial Differential Equations

DOI

2016

Nontrivial solutions for Kirchhoff equations with periodic potentials

Xiaoyan Ma, Xiaoming He

DOAJ (DOAJ: Directory of Open Access Journals)

2015

一类Kirchhoff-Poisson方程解的存在性

贺小明，焦海涛

《中央民族大学学报(自然科学版)》

2015

Least energy solutions for a weakly coupled fractional Schrödinger system

Qing Guo, Xiaoming He

Nonlinear Analysis

DOI

2015

Solutions for a class of Schrödinger–Poisson system in bounded domains

Zhen Ba, Xiaoming He

Journal of Applied Mathematics and Computing

DOI

2013

Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth

Xiaoming He, Aixia Qian, Wenming Zou

Nonlinearity

DOI

2013

Multiplicity of Solutions for a Nonlinear Klein-Gordon-Maxwell System

Xiaoming He

Acta Applicandae Mathematicae

DOI

2012

Ground states for nonlinear Kirchhoff equations with critical growth

Xiaoming He, Wenming Zou

Annali di Matematica Pura ed Applicata (1923 -)

DOI

2012

Multiplicity of high energy solutions for superlinear Kirchhoff equations

Wei Liu, Xiaoming He

Journal of Applied Mathematics and Computing

DOI

2012

Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth

Xiaoming He, Wenming Zou

Journal of Mathematical Physics

DOI

2011

Existence and concentration behavior of positive solutions for a Kirchhoff equation in R3

Xiaoming He, Wenming Zou

Journal of Differential Equations

DOI

2011

Multiplicity and concentration of positive solutions for the Schrödinger–Poisson equations

Xiaoming He

Zeitschrift für angewandte Mathematik und Physik

DOI

2010

常微分方程与动力系统概论

贺小明

2010

Multiplicity of solutions for a class of Kirchhoff type problems

Xiaoming He, Wenming Zou

Acta Mathematicae Applicatae Sinica English Series

DOI

2009

Multiple radial solutions for a class of quasilinear elliptic problems

Xiaoming He

Applied Mathematics Letters

DOI

2009

Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions

Xiaoming He, Wenming Zou

Nonlinear Analysis

DOI

2009

A note on a nonlinear functional differential system with feedback control

Yuqing Wang, Xiaoming He

Electronic journal of qualitative theory of differential equations

DOI

2003

一维P-Laplacian方程正解的三解定理

贺小明，葛渭高

《应用数学学报》

2003

一维p-Laplacian方程正解的存在性

贺小明，葛渭高

《数学学报(中文版)》

精选作品

期刊论文

Normalized solutions for the critical Schrödinger-Poisson systems with potentials

Multiple normalized solutions for the fractional autonomous and non-autonomous Kirchhoff equation: The L2-supercritical case

Multiple Normalized Solutions for the Quasilinear Sobolev Critical Schrödinger-Poisson System

Solutions with prescribed mass for critical Schrödinger–Poisson systems concentrating at a potential well

Multiple Normalized Solutions for p-Laplacian Schrödinger–Poisson Systems

Normalized solutions for $ p $ -Laplacian equations concentrating at a potential well

Normalized solutions to Schrödinger systems with critical nonlinearities

Normalized Solutions for a Sobolev Critical Fractional Schrödinger–Poisson System

Multiplicity of normalized solutions to a p-Laplacian equation via Ljusternik-Schnirelmann category

Normalized solutions to the p -Laplacian Schrödinger–Poisson system with mass supercritical growth

Solutions with prescribed mass for the Sobolev critical Schrödinger–Poisson system with p-Laplacian

Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth

Normalized solutions for a fractional Schrödinger–Poisson system with critical growth

Normalized ground states for the fractional Schrödinger–Poisson system with critical nonlinearities

Multiple bound states for a class of fractional critical Schrödinger–Poisson systems with critical frequency

Normalized Solutions for Schrödinger–Poisson Type Systems with Critical Nonlocal Term

Normalized Solutions for Schrödinger–Poisson Systems Involving Critical Sobolev Exponents

Normalized solutions for the Choquard equations with critical nonlinearities

Multiplicity of normalized semi-classical states for a class of nonlinear Choquard equations

Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation

Normalized solutions for the Schrödinger-Poisson system with doubly critical growth

Normalized Solutions for the Fractional Choquard Equations with Hardy–Littlewood–Sobolev Upper Critical Exponent

Multiplicity of positive solutions for the fractional Schrödinger–Poisson system with critical nonlocal term

Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term

On a Fractional Schrödinger–Poisson System with Doubly Critical Growth and a Steep Potential Well

Fractional Schrödinger–Poisson system with critical growth and potentials vanishing at infinity

Multiplicity of Concentrating Solutions for Choquard Equation with Critical Growth

Analysis of a low linear perturbed Choquard equation with critical growth

Normalized Ground States for the Critical Fractional Choquard Equation with a Local Perturbation

Multiplicity of high energy solutions for fractional Schrodinger-Poisson systems with critical frequency

Ground states for critical fractional Schrödinger‐Poisson systems with vanishing potentials

Positive Solutions for a Class of Fractional p-Laplacian Equation with Critical Sobolev Exponent and Decaying Potentials

On the number of concentrating solutions of a fractional Schrödinger–Poisson system with doubly critical growth

The Benci–Cerami problem for the fractional Choquard equation with critical exponent

具有临界频率的分数阶薛定谔-泊松系统的半经典基态解的多重性

Least energy sign-changing solutions for a class of fractional Kirchhoff–Poisson system

Positive solutions for fractional Schrödinger–Poisson systems with doubly critical exponents

Small linear perturbations of fractional Choquard equations with critical exponent

Ground state solutions for a class of fractional Schrodinger-Poisson system with critical growth and vanishing potentials

一类具有临界指数增长的分数阶p-Laplace方程的变分问题

Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schrödinger equations with critical growth

Existence and multiplicity results for some Schrödinger-Poisson system with critical growth

Ground state solutions for a class of fractional Kirchhoff equations with critical growth

Fractional Kirchhoff problem with critical indefinite nonlinearity

The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions

Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation

Multiplicity of concentrating positive solutions for Schrödinger–Poisson equations with critical growth

Existence of sign-changing solutions for a class ofp-Laplacian Kirchhoff-type equations

Semiclassical states for weakly coupled fractional Schrödinger systems

一类具衰减位势的Schrdinger-Poisson方程变号基态解的存在性

Semiclassical states for fractional Schrödinger equations with critical growth

Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

Nontrivial solutions for Kirchhoff equations with periodic potentials

一类Kirchhoff-Poisson方程解的存在性

Least energy solutions for a weakly coupled fractional Schrödinger system

Solutions for a class of Schrödinger–Poisson system in bounded domains

Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth

Multiplicity of Solutions for a Nonlinear Klein-Gordon-Maxwell System

Ground states for nonlinear Kirchhoff equations with critical growth

Multiplicity of high energy solutions for superlinear Kirchhoff equations

Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth

Existence and concentration behavior of positive solutions for a Kirchhoff equation in R3

Multiplicity and concentration of positive solutions for the Schrödinger–Poisson equations

常微分方程与动力系统概论

Multiplicity of solutions for a class of Kirchhoff type problems

Multiple radial solutions for a class of quasilinear elliptic problems

Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions

A note on a nonlinear functional differential system with feedback control

一维P-Laplacian方程正解的三解定理

一维p-Laplacian方程正解的存在性

书籍章节

Multiple Positive Bound State Solutions for Fractional Schrödinger–Poisson System with Critical Nonlocal Term

研究方向