卓然｜上海师范大学｜学者主页

期刊论文

2026

Symmetry and non-existence of anti-symmetric solutions to elliptic equations with Hardy weights

Ran Zhuo, Chen-Kai Liu

Communications on Pure and Applied Analysis

DOI

2024

The direct moving sphere for fractional Laplace equation

Cong-Ming Li, Meiqing Xu, Hui Yang, Ran Zhuo

Journal of Functional Analysis

DOI

2024

Qualitative properties of solutions for system involving the fractional Laplacian

Ran Zhuo, Yingshu Lu

Proceedings of the Royal Society of Edinburgh. Section A Mathematics

DOI

2023

A priori estimates for anti-symmetric solutions to a fractional Laplacian equation in a bounded domain

Chen-Kai Liu, Shao-Dong Wang, Ran Zhuo

Nonlinear Analysis

DOI

2022

On the Dirichlet problem for fractional Laplace equation on a general domain

Chen-Kai Liu, Ran Zhuo

Communications in Contemporary Mathematics

DOI

2022

Classification of anti-symmetric solutions to the fractional Lane-Emden system

Cong-Ming Li, Ran Zhuo

Science China Mathematics

DOI

2021

Regularity and existence of positive solutions for a fractional system

Ran Zhuo, Yan Li

Communications on Pure and Applied Analysis

DOI

2021

Classification of anti-symmetric solutions to nonlinear fractional Laplace equations

Ran Zhuo, Cong-Ming Li

Calculus of Variations and Partial Differential Equations

DOI

2019

Nonexistence and symmetry of solutions for Schrödinger systems involving fractional Laplacian

Ran Zhuo, Yan Li

Discrete and Continuous Dynamical Systems. Series A

DOI

2017

Weighted polyharmonic equation with Navier boundary conditions in a half space

Ran Zhuo

DOI

2016

A Liouville theorem for the higher-order fractional Laplacian

Ran Zhuo, Yan Li

Communications in Contemporary Mathematics

DOI

2016

Symmetry of positive solutions for equations involving higher order fractional Laplacian

Yan Li, Ran Zhuo

DOI

2015

Symmetry and nonexistence of positive solutions of integral systems with Hardy terms

Dong-Yan Li, P. Niu, Ran Zhuo

DOI

2015

Liouville type theorems for Schrödinger systems

Ran Zhuo, Feng-Quan Li

DOI

2015

Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian

Ran Zhuo, Wen-Xiong Chen, Xue-Wei Cui, Zi-Xia Yuan

DOI

2014

Nonexistence of Positive Solutions for an Integral Equation Related to the Hardy-Sobolev Inequality

Dong-Yan Li, P. Niu, Ran Zhuo

Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications

DOI

2014

Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space

Dong-Yan Li, P. Niu, Ran Zhuo

DOI

2013

LIOUVILLE TYPE THEOREMS FOR SCHRODINGER SYSTEM WITH NAVIER BOUNDARY CONDITIONS IN A HALF SPACE

Ran Zhuo, Feng-Quan Li, Bo-Qiang Lv

DOI

2013

Symmetry of an integral equation with Bessel potential in ℝn+

Bo-Qiang Lv, Ran Zhuo

DOI

2011

A system of integral equations on half space

Ran Zhuo, Dong-Yan Li

DOI

2010

An integral equation on half space

Dong-Yan Li, Ran Zhuo

DOI

预印本

2023

A priori estimates for higher-order fractional Laplace equations

Yugao Ouyang, Meiqing Xu, Ran Zhuo

arXiv preprint

2020

The A Priori Estimate and Existence of the Positive Solution for A Nonlinear System Involving the Fractional Laplacian

Ran Zhuo, Yan Li

arXiv preprint

2014

A Liouville Theorem for the Fractional Laplacian

Ran Zhuo, Wenxiong Chen, Xuewei Cui, Zixia Yuan

arXiv preprint

卓然

精选作品

期刊论文

Symmetry and non-existence of anti-symmetric solutions to elliptic equations with Hardy weights

The direct moving sphere for fractional Laplace equation

Qualitative properties of solutions for system involving the fractional Laplacian

A priori estimates for anti-symmetric solutions to a fractional Laplacian equation in a bounded domain

On the Dirichlet problem for fractional Laplace equation on a general domain

Classification of anti-symmetric solutions to the fractional Lane-Emden system

Regularity and existence of positive solutions for a fractional system

Classification of anti-symmetric solutions to nonlinear fractional Laplace equations

Nonexistence and symmetry of solutions for Schrödinger systems involving fractional Laplacian

Weighted polyharmonic equation with Navier boundary conditions in a half space

A Liouville theorem for the higher-order fractional Laplacian

Symmetry of positive solutions for equations involving higher order fractional Laplacian

Symmetry and nonexistence of positive solutions of integral systems with Hardy terms

Liouville type theorems for Schrödinger systems

Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian

Nonexistence of Positive Solutions for an Integral Equation Related to the Hardy-Sobolev Inequality

Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space

LIOUVILLE TYPE THEOREMS FOR SCHRODINGER SYSTEM WITH NAVIER BOUNDARY CONDITIONS IN A HALF SPACE

Symmetry of an integral equation with Bessel potential in ℝn+

A system of integral equations on half space

An integral equation on half space

预印本

A priori estimates for higher-order fractional Laplace equations

The A Priori Estimate and Existence of the Positive Solution for A Nonlinear System Involving the Fractional Laplacian

A Liouville Theorem for the Fractional Laplacian

研究方向