郭玉霞｜清华大学｜学者主页

2026

Construction of solutions for a critical strongly indefinite elliptic system

Yuxia Guo, Congzheng Xuanyuan, Tingfeng Yuan

Journal of Differential Equations

DOI

2026

Liouville-type theorem for parabolic degenerate equation

Yuxia Guo, Tingfeng Yuan

Journal of Differential Equations

DOI

2026

Asymptotic Behavior of Ground State Solution to Hénon type System

Yuxia Guo, Congzheng Xuanyuan, Tingfeng Yuan

Potential Analysis

DOI

2026

Topological degree and existence of nontrivial normalized solutions for mass-critical Gross-Pitaevskii systems

Fengshuang Gao, Yuxia Guo, Shusen Yan, Weilin Yu

2026

Infinitely many sign-changing solutions for critical Hamiltonian systems with linear perturbation

Yuxia Guo, Congzheng Xuanyuan

2026

Multiple blowing-up solutions to critical Hénon-type systems

Yuxia Guo, Yichen Hu, Shaolong Peng

Calculus of Variations and Partial Differential Equations

DOI

2026

Construction of nonradial solutions for fractional critical equation with weaker symmetrical function

Yuxia Guo, Dewei Li, Yichen Hu, Ting Liu

Discrete and Continuous Dynamical Systems

DOI

2025

Multiple boundary peak solution for critical elliptic system with Neumann boundary condition

Yuxia Guo, Shengyu Wu, Tingfeng Yuan

Journal of Differential Equations

DOI

2025

Sign-changing solutions for critical Hamiltonian systems in $\mathbb{R}^N$

Yuxia Guo, Seunghye Kim, Angela Pistoia, Shusen Yan

2025

Multipeak solutions for fractional elliptic equations on conformal infinities

Yuan Gao, Yuxia Guo, Ning Zhou

Proceedings of the Royal Society of Edinburgh: Section A Mathematics

DOI

2025

Non-degeneracy of double-tower solutions for nonlinear Schrödinger equation and applications

Yuan Gao, Yuxia Guo

Communications in Contemporary Mathematics

DOI

2025

Construction of solutions for a critical elliptic system of Hamiltonian type

Yuxia Guo, Congzheng Xuanyuan, Tingfeng Yuan

2025

Asymptotic Behavior of Least Energy Solution to Higher Order Hamiltonian System

Yuxia Guo, Tingfeng Yuan

Journal of Geometric Analysis

DOI

2025

Normalized solutions for p -Laplacian equation with general nonlinearities on bounded domain

Fengshuang Gao, Yuxia Guo

Proceedings of the Royal Society of Edinburgh. Section A Mathematics

DOI

2025

Morse index and non-degeneracy of double-tower solutions for prescribed scalar curvature problem

Yuxia Guo, Yichen Hu, Shaolong Peng

Journal of Differential Equations

DOI

2025

Non-degeneracy and New Existence of Bubble Solutions for the Critical Fractional Hénon-type Equation

Yuxia Guo, Yichen Hu

Potential Analysis

DOI

2024

Multiple Normalized Solutions for First Order Hamiltonian Systems

Yuxia Guo, Yu Yu

SIAM Journal on Mathematical Analysis

DOI

2024

Periodic solution for critical Hamiltonian systems in a strip

Yuxia Guo, Shengyu Wu

Journal of Differential Equations

DOI

2024

New type of solutions for Schrödinger equations with critical growth

Yuan Gao, Yuxia Guo

Journal of Mathematics and Physics

DOI

2024

Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem

Yuan Gao, Yuxia Guo, Ning Zhou

2024

Non-Degeneracy of O(3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {O}(3)$$\end{document} Invariant Soluti

Yuan Gao, Yuxia Guo, Yi-Chen Hu

Journal of Geometric Analysis

DOI

2024

Periodic solution for Hamiltonian type systems with critical growth

Yuxia Guo, Shengyu Wu, Shusen Yan

Calculus of Variations and Partial Differential Equations

DOI

2024

Normalized solution for a quasilinear Schrödinger equation with potentials and general nonlinearities

Fengshuang Gao, Yuxia Guo

Communications on Pure and Applied Analysis

DOI

2024

Existence of Normalized Solutions for Mass Super-Critical Quasilinear Schrödinger Equation with Potentials

Fengshuang Gao, Yuxia Guo

Journal of Geometric Analysis

DOI

2024

Local uniqueness and non-degeneracy of bubbling solution for critical Hamiltonian system

Yuxia Guo, Yichen Hu, Shaolong Peng

Journal of Differential Equations

DOI

2024

Asymptotic behavior of the ground‐state solutions of Lane–Emden system

Yuxia Guo, Yichen Hu, Shaolong Peng, Tingfeng Yuan

Bulletin of the London Mathematical Society

DOI

2024

Classification of solutions to the critical order elliptic system with general nonlinearity

Yuxia Guo, Shaolong Peng

Science China Mathematics

DOI

2024

Non-degeneracy of solution for critical Lane–Emden systems with linear perturbation

Yuxia Guo, Yichen Hu, Shaolong Peng

Calculus of Variations and Partial Differential Equations

DOI

2024

Non-Degeneracy and Infinitely Many Solutions for Critical SchrÖDinger-Maxwell Type Problem

Yuxia Guo, Yichen Hu, Shaolong Peng

Potential Analysis

DOI

2024

Infinitely many solutions for Hamiltonian system with critical growth

Yuxia Guo, Yichen Hu

Advances in Nonlinear Analysis

DOI

2023

Double-tower solutions for higher-order prescribed curvature problem

Yuan Gao, Yuxia Guo, Yichen Hu

Annali di Matematica Pura ed Applicata (1923 -)

DOI

2023

Periodic Solution for Higher Order Prescribed Curvature Problem in a Strip

Yuxia Guo, Shengyu Wu

Journal of Geometric Analysis

DOI

2023

Non-radial solutions for higher order Hénon-type equation with critical exponent

Yuxia Guo, Yichen Hu, Dewei Li

Nonlinear Differential Equations and Applications NoDEA

DOI

2023

Nonradial solutions for coupled elliptic system with critical exponent in exterior domain

Yuxia Guo, Dewei Li

Discrete and Continuous Dynamical Systems - S

DOI

2023

Non-degeneracy of the Bubble Solutions for the Fractional Prescribed Curvature Problem and Applications

Yuxia Guo, Yichen Hu, Ting Liu, Jianjun Nie

Journal of Geometric Analysis

DOI

2022

An elliptic problem with periodic boundary condition involving critical growth

Yuxia Guo, Shusen Yan

Mathematische Annalen

DOI

2022

New existence of multi-spike solutions for the fractional Schrödinger equations

Qing Guo, Yuxia Guo, Shuangjie Peng

Science China Mathematics

DOI

2022

Non-radial solutions for the fractional Hénon equation with critical exponent

Yuxia Guo, Yichen Hu, Ting Liu

Calculus of Variations and Partial Differential Equations

DOI

2022

Non-degeneracy of the bubble solutions for the Hénon equation and applications

Yuxia Guo, Yichen Hu, Ting Liu

Annali di Matematica Pura ed Applicata (1923 -)

DOI

2022

Non-degeneracy of bubble solutions for higher order prescribed curvature problem

Yuxia Guo, Yichen Hu

Advanced Nonlinear Studies

DOI

2021

Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications

Yuxia Guo, M. Musso, Shuangjie Peng, Shusen Yan

2021

The fractional Brezis-Nirenberg problems on lower dimensions

Yuxia Guo, Benniao Li, Angela Pistoia, Shusen Yan

Journal of Differential Equations

DOI

2021

Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth

Yuxia Guo, Ting Liu

Advanced Nonlinear Studies

DOI

2021

Multiple solutions for quasilinear elliptic equations with critical exponents in ℝN

Fengshuang Gao, Yuxia Guo

Pacific Journal of Mathematics

DOI

2021

Construction of Solutions for Hénon-Type Equation with Critical Growth

Yuxia Guo, Ting Liu

Advanced Nonlinear Studies

DOI

2021

Existence and nonexistence results for critical growth fractional elliptic systems

Fengshuang Gao, Yuxia Guo

Partial Differential Equations and Applications

DOI

2020

Bubble solutions for a supercritical polyharmonic Hénon-type equation

Yuxia Guo, Ting Liu

manuscripta mathematica

DOI

2020

Multiple peak solutions for polyharmonic equation with critical growth

Yuxia Guo, Ting Liu

Mathematische Nachrichten

DOI

2020

The prescribed scalar curvature problem for polyharmonic operator

Yuxia Guo, Ting Liu

Annali di Matematica Pura ed Applicata (1923 -)

DOI

2020

Exact number of single bubbling solutions for elliptic problems of Ambrosetti–Prodi type

Yuxia Guo, Benniao Li, Shusen Yan

Calculus of Variations and Partial Differential Equations

DOI

2019

Solutions for critical quasilinear elliptic equations in RN

Fengshuang Gao, Yuxia Guo

Journal of Mathematical Physics

DOI

2019

Solutions for Fractional Schrödinger Equation Involving Critical Exponent via Local Pohozaev Identities

Yuxia Guo, Ting Liu, Jianjun Nie

Advanced Nonlinear Studies

DOI

2019

Construction of solutions for the polyharmonic equation via local Pohozaev identities

Yuxia Guo, Ting Liu, Jianjun Nie

Calculus of Variations and Partial Differential Equations

DOI

2019

Infinitely many solutions for critical quasilinear equations involving Hardy potential

Fengshuang Gao, Yuxia Guo

Communications in Contemporary Mathematics

DOI

2019

Multiple solutions for a critical quasilinear equation with Hardy potential

Fengshuang Gao, Yuxia Guo

Discrete and Continuous Dynamical Systems - S

DOI

2018

Infinitely many non-radial solutions to a critical equation on annulus

Yuxia Guo, Benniao Li, Angela Pistoia, Shusen Yan

Journal of Differential Equations

DOI

2018

Multiple solutions for critical quasilinear elliptic equations

Yinbin Deng, Yuxia Guo, Shusen Yan

Calculus of Variations and Partial Differential Equations

DOI

2017

The existence, uniqueness and nonexistence of the ground state to the N -coupled Schrödinger systems in R n ( n ⩽ 4 ) *

Yuxia Guo, Senping Luo, Wenming Zou

Nonlinearity

DOI

2017

Local uniqueness and periodicity induced by concentration

Yuxia Guo, Shuangjie Peng, Shusen Yan

Proceedings of the London Mathematical Society

DOI

2016

Existence of solutions for quasilinear elliptic equations with Hardy potential

Yinbin Deng, Yuxia Guo, Jiaquan Liu

Journal of Mathematical Physics

DOI

2013

Positive Solutions for Quasilinear Systems with Critical Growth

Yuxia Guo, Xiangqing Liu, Fukun Zhao

Advanced Nonlinear Studies

DOI

2012

SIGN-CHANGING SOLUTIONS FOR AN ASYMPTOTICALLY p-LINEAR p-LAPLACIAN EQUATION IN ℝN

Xiangqing Liu, Yuxia Guo

Communications in Contemporary Mathematics

DOI

2012

Infinitely many solutions for the prescribed curvature problem of polyharmonic operator

Yuxia Guo, Bo Li

Calculus of Variations and Partial Differential Equations

DOI

2010

On an asymptotically -linear -Laplacian equation in

Jiaquan Liu, Xiangqing Liu, Yuxia Guo

Nonlinear Analysis

DOI

2009

Solutions for singular p-Laplacian equation in R n

Xiangqing Liu, Yuxia Guo, Jiaquan Liu

Journal of Systems Science and Complexity

DOI

2008

Liouville-type theorems for polyharmonic equations in $\mathbb{R}^N$ and in $\mathbb{R}^N_+$

Yuxia Guo, Jiaquan Liu

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2007

Nonexistence of Positive Solutions for Polyharmonic Systems in ℝ N

Yuxia Guo, Jiaquan Liu, Yajing Zhang

Advanced Nonlinear Studies

DOI

2007

Computations of Critical Groups and Applications to Nonlinear Differential Equations With Resonance

Yuxia Guo, Jiaquan Liu

Advanced Nonlinear Studies

DOI

2006

Existence of Positive Entire Solutions for Polyharmonic Equations and Systems

Jiaquan Liu, Yuxia Guo, Yajing Zhang

Journal of Partial Differential Equations

DOI

2003

Mountain pass solutions and an indefinite superlinear elliptic problem on $\mathbb R^{\mathbb N}$

Yihong Du, Yuxia Guo

Topological Methods in Nonlinear Analysis

DOI

2003

Morse theory for strongly indefinite functional and its applications

Yuxia Guo

DOI

2001

Computations of Critical Groups at a Degenerate Critical Point for Strongly Indefinite Functionals

Yuxia Guo

Journal of Mathematical Analysis and Applications

DOI

1998

Banach空间中非线性脉冲积分微分方程的正解(英)

郭玉霞

《应用数学》

精选作品

期刊论文

Construction of solutions for a critical strongly indefinite elliptic system

Liouville-type theorem for parabolic degenerate equation

Asymptotic Behavior of Ground State Solution to Hénon type System

Topological degree and existence of nontrivial normalized solutions for mass-critical Gross-Pitaevskii systems

Infinitely many sign-changing solutions for critical Hamiltonian systems with linear perturbation

Multiple blowing-up solutions to critical Hénon-type systems

Construction of nonradial solutions for fractional critical equation with weaker symmetrical function

Multiple boundary peak solution for critical elliptic system with Neumann boundary condition

Sign-changing solutions for critical Hamiltonian systems in $\mathbb{R}^N$

Multipeak solutions for fractional elliptic equations on conformal infinities

Non-degeneracy of double-tower solutions for nonlinear Schrödinger equation and applications

Construction of solutions for a critical elliptic system of Hamiltonian type

Asymptotic Behavior of Least Energy Solution to Higher Order Hamiltonian System

Normalized solutions for p -Laplacian equation with general nonlinearities on bounded domain

Morse index and non-degeneracy of double-tower solutions for prescribed scalar curvature problem

Non-degeneracy and New Existence of Bubble Solutions for the Critical Fractional Hénon-type Equation

Multiple Normalized Solutions for First Order Hamiltonian Systems

Periodic solution for critical Hamiltonian systems in a strip

New type of solutions for Schrödinger equations with critical growth

Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem

Periodic solution for Hamiltonian type systems with critical growth

Normalized solution for a quasilinear Schrödinger equation with potentials and general nonlinearities

Existence of Normalized Solutions for Mass Super-Critical Quasilinear Schrödinger Equation with Potentials

Local uniqueness and non-degeneracy of bubbling solution for critical Hamiltonian system

Asymptotic behavior of the ground‐state solutions of Lane–Emden system

Classification of solutions to the critical order elliptic system with general nonlinearity

Non-degeneracy of solution for critical Lane–Emden systems with linear perturbation

Non-Degeneracy and Infinitely Many Solutions for Critical SchrÖDinger-Maxwell Type Problem

Infinitely many solutions for Hamiltonian system with critical growth

Double-tower solutions for higher-order prescribed curvature problem

Periodic Solution for Higher Order Prescribed Curvature Problem in a Strip

Non-radial solutions for higher order Hénon-type equation with critical exponent

Nonradial solutions for coupled elliptic system with critical exponent in exterior domain

Non-degeneracy of the Bubble Solutions for the Fractional Prescribed Curvature Problem and Applications

An elliptic problem with periodic boundary condition involving critical growth

New existence of multi-spike solutions for the fractional Schrödinger equations

Non-radial solutions for the fractional Hénon equation with critical exponent

Non-degeneracy of the bubble solutions for the Hénon equation and applications

Non-degeneracy of bubble solutions for higher order prescribed curvature problem

Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications

The fractional Brezis-Nirenberg problems on lower dimensions

Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth

Multiple solutions for quasilinear elliptic equations with critical exponents in ℝN

Construction of Solutions for Hénon-Type Equation with Critical Growth

Existence and nonexistence results for critical growth fractional elliptic systems

Bubble solutions for a supercritical polyharmonic Hénon-type equation

Multiple peak solutions for polyharmonic equation with critical growth

The prescribed scalar curvature problem for polyharmonic operator

Exact number of single bubbling solutions for elliptic problems of Ambrosetti–Prodi type

Solutions for critical quasilinear elliptic equations in RN

Solutions for Fractional Schrödinger Equation Involving Critical Exponent via Local Pohozaev Identities

Construction of solutions for the polyharmonic equation via local Pohozaev identities

Infinitely many solutions for critical quasilinear equations involving Hardy potential

Multiple solutions for a critical quasilinear equation with Hardy potential

Infinitely many non-radial solutions to a critical equation on annulus

Multiple solutions for critical quasilinear elliptic equations

The existence, uniqueness and nonexistence of the ground state to the N -coupled Schrödinger systems in R n ( n ⩽ 4 ) *

Local uniqueness and periodicity induced by concentration

Existence of solutions for quasilinear elliptic equations with Hardy potential

Positive Solutions for Quasilinear Systems with Critical Growth

SIGN-CHANGING SOLUTIONS FOR AN ASYMPTOTICALLY p-LINEAR p-LAPLACIAN EQUATION IN ℝN

Infinitely many solutions for the prescribed curvature problem of polyharmonic operator

On an asymptotically -linear -Laplacian equation in

Solutions for singular p-Laplacian equation in R n

Liouville-type theorems for polyharmonic equations in $\mathbb{R}^N$ and in $\mathbb{R}^N_+$

Nonexistence of Positive Solutions for Polyharmonic Systems in ℝ N

Computations of Critical Groups and Applications to Nonlinear Differential Equations With Resonance

Existence of Positive Entire Solutions for Polyharmonic Equations and Systems

Mountain pass solutions and an indefinite superlinear elliptic problem on $\mathbb R^{\mathbb N}$

Morse theory for strongly indefinite functional and its applications

Computations of Critical Groups at a Degenerate Critical Point for Strongly Indefinite Functionals

Banach空间中非线性脉冲积分微分方程的正解(英)

研究方向