Juncheng Wei

发表

The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer-Meinhardt Model

Daniel Gomez, Michael J. Ward, Juncheng Wei, 2019, SIAM J. Appl. Dyn. Syst..

On De Giorgi’s conjecture and beyond

Juncheng Wei, Michal Kowalczyk, Manuel Del Pino, 2012, Proceedings of the National Academy of Sciences.

Multivortex Traveling Waves for the Gross-Pitaevskii Equation and the Adler-Moser Polynomials

Yong Liu, Juncheng Wei, Y. Liu, 2018, SIAM J. Math. Anal..

Non-degeneracy and quantitative stability of half-harmonic maps from ℝ to 𝕊

Juncheng Wei, Bin Deng, Liming Sun, 2021, 2107.08521.

Vanishing estimates for Liouville equation with quantized singularities

Lei Zhang, Juncheng Wei, Juncheng Wei, 2021, Proceedings of the London Mathematical Society.

Generalized Adler-Moser Polynomials and Multiple Vortex Rings for the Gross-Pitaevskii Equation

Juncheng Wei, Weiwei Ao, Yehui Huang, 2021, SIAM J. Math. Anal..

Normalized solutions for Schr\"{o}dinger system with quadratic and cubic interactions

Juncheng Wei, Maoding Zhen, Xiaolong Yang, 2021, 2108.09461.

On some nonlinear Schr\"odinger equations in $\bbr^N$

Juncheng Wei, Yuanze Wu, Juncheng Wei, 2021, 2112.04746.

Entire solutions of the magnetic Ginzburg-Landau equation in $\mathbb{R}^4$

Juncheng Wei, Yong Liu, Xinan Ma, 2021, 2108.02754.

Helmholtz Solutions for the Fractional Laplacian and Other Related Operators

Juncheng Wei, Vincent Guan, Mathav Murugan, 2022, Communications in Contemporary Mathematics.

On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials

Juncheng Wei, Senping Luo, Wenming Zou, 2021, 2110.08728.

From KP-I lump solution to travelling waves of Gross-Pitaevskii equation

Juncheng Wei, Wen Yang, Yong Liu, 2021, 2110.15472.

Multi-spike Patterns in the Gierer-Meinhardt System with a Nonzero Activator Boundary Flux

Daniel Gomez, Juncheng Wei, 2021, J. Nonlinear Sci..

Bubble towers in the ancient solution of energy-critical heat equation

Juncheng Wei, Liming Sun, Qidi Zhang, 2021, Calculus of Variations and Partial Differential Equations.

Quantitative stability of harmonic maps from $\mathbb{R}^2$ to $\mathbb{S}^2$ with higher degree

Juncheng Wei, Bin Deng, Liming Sun, 2021, 2111.07630.

Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities

Juncheng Wei, Yuanze Wu, Juncheng Wei, 2021, Journal of Functional Analysis.

Global existence of free-energy solutions to the 2D Patlak--Keller--Segel--Navier--Stokes system with critical and subcritical mass

Yifu Zhou, Juncheng Wei, Chen-Chih Lai, 2021 .

An Asymptotic Analysis of Localized Three-Dimensional Spot Patterns for the Gierer-Meinhardt Model: Existence, Linear Stability, and Slow Dynamics

Michael J. Ward, Daniel Gomez, Juncheng Wei, 2021, SIAM J. Appl. Math..

Sharp quantitative estimates of Struwe's Decomposition

Juncheng Wei, Bin Deng, Liming Sun, 2021, 2103.15360.

Refined blowup analysis and nonexistence of Type II blowups for an energy critical nonlinear heat equation

Juncheng Wei, Kelei Wang, Juncheng Wei, 2021, 2101.07186.

Decomposition of polyharmonic operator and classification of homogeneous stable solutions

Juncheng Wei, Senping Luo, Wenming Zou, 2021 .

On Sirakov's open problem and related topics

Juncheng Wei, Wenming Zou, Xuexiu Zhong, 2021 .

On the Gierer-Meinhardt system with precursors

Matthias Winter, Juncheng Wei, Juncheng Wei, 2009 .

INFINITELY MANY SOLUTIONS FOR THE PRESCRIBED SCALAR CURVATURE PROBLEM ON

Juncheng Wei, Shusen Yan, Juncheng Wei, 2008 .

Hopf bifurcation of spike solutions for the shadow Gierer–Meinhardt model

Michael J. Ward, Juncheng Wei, M. Ward, 2003, European Journal of Applied Mathematics.

On a nonlocal eigenvalue problem

Juncheng Wei, Liqun Zhang, Juncheng Wei, 2001 .

On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates

Juncheng Wei, Juncheng Wei, 1999, European Journal of Applied Mathematics.

Self-replication of mesa patterns in reaction-diffusion systems

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2007 .

Solutions to the Allen Cahn Equation and Minimal Surfaces

Manuel del Pino, Juncheng Wei, Juncheng Wei, 2011 .

On the effect of domain topology in a singular perturbation problem

Juncheng Wei, E. N. Dancer, Juncheng Wei, 1998 .

Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials

Juncheng Wei, Yanheng Ding, Yanheng Ding, 2007 .

Stability of spot and ring solutions of the diblock copolymer equation

Xiaofeng Ren, Juncheng Wei, Juncheng Wei, 2004 .

Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimensions

Juncheng Wei, Shin-Ichiro Ei, Shin-ichiro Ei, 2002 .

Multiple boundary peak solutions for some singularly perturbed Neumann problems

Matthias Winter, Changfeng Gui, Juncheng Wei, 2000 .

Existence, Classification and Stability Analysis of Multiple-peaked Solutions for the Gierer-Meinhardt System in R 1

Matthias Winter, Juncheng Wei, Juncheng Wei, 2007 .

Existence and stability analysis of asymmetric patterns for the Gierer-Meinhardt system

Matthias Winter, Juncheng Wei, Juncheng Wei, 2004 .

Boundary interface for the Allen–Cahn equation

Juncheng Wei, A. Malchiodi, Juncheng Wei, 2007 .

ON THE GIERER–MEINHARDT SYSTEM WITH SATURATION

Matthias Winter, Juncheng Wei, Juncheng Wei, 2004 .

Chapter 6 Existence and stability of spikes for the Gierer-Meinhardt system

Juncheng Wei, Juncheng Wei, 2008 .

Stationary States of Nonlinear Dirac Equations with General Potentials

Juncheng Wei, Yanheng Ding, Yanheng Ding, 2008 .

Stability analysis of Turing patterns generated by the Schnakenberg model

David Iron, Matthias Winter, Juncheng Wei, 2004, Journal of mathematical biology.

On a two-dimensional elliptic problem with large exponent in nonlinearity

Xiaofeng Ren, Juncheng Wei, X. Ren, 1994 .

MANY DROPLET PATTERN IN THE CYLINDRICAL PHASE OF DIBLOCK COPOLYMER MORPHOLOGY

Xiaofeng Ren, Juncheng Wei, Juncheng Wei, 2007 .

The soliton-stripe pattern in the Seul–Andelman membrane☆

Xiaofeng Ren, Juncheng Wei, Juncheng Wei, 2004 .

Stable spike clusters for the one-dimensional Gierer–Meinhardt system

Matthias Winter, Juncheng Wei, Juncheng Wei, 2016, European Journal of Applied Mathematics.

Ground State of N Coupled Nonlinear Schrödinger Equations in Rn,n≤3

Tai-Chia Lin, Juncheng Wei, Juncheng Wei, 2005 .

On energy minimizers of the diblock copolymer problem

Xiaofeng Ren, Juncheng Wei, Juncheng Wei, 2003 .

Juncheng Wei, Kai-Seng Chou, Juncheng Wei, 2001 .

Stationary multiple spots for reaction–diffusion systems

Matthias Winter, Juncheng Wei, Juncheng Wei, 2008, Journal of mathematical biology.

The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model

Michael J. Ward, Juncheng Wei, M. Ward, 2002 .

Mesa-type patterns in the one-dimensional Brusselator and their stability

Thomas Erneux, Juncheng Wei, Theodore Kolokolnikov, 2005, nlin/0512040.

Triblock copolymer theory: free energy, disordered phase and weak segregation

Xiaofeng Ren, Juncheng Wei, Juncheng Wei, 2003 .

On De Giorgi's conjecture in dimension N>9

Manuel del Pino, Juncheng Wei, Michał Kowalczyk, 2011 .

Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability

Michael J. Ward, Juncheng Wei, 2002, European Journal of Applied Mathematics.

The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2005 .

Multiple interior peak solutions for some singularly perturbed neumann problems

Changfeng Gui, Juncheng Wei, Juncheng Wei, 1999 .

On the role of distance function in some singular perturbation problems

Patricio Felmer, Manuel del Pino, Juncheng Wei, 2000 .

Entire solutions and global bifurcations for a biharmonic equation with singular non-linearity in $\Bbb R^3$

Juncheng Wei, Zongming Guo, Zongming Guo, 2008, Advances in Differential Equations.

Existence and stability of multiple-spot solutions for the Gray–Scott model in R2

Matthias Winter, Juncheng Wei, 2003 .

Stable spike clusters for the precursor Gierer–Meinhardt system in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ma

Matthias Winter, Juncheng Wei, Wen Yang, 2017, Calculus of Variations and Partial Differential Equations.

Flow-distributed spikes for Schnakenberg kinetics

Matthias Winter, Juncheng Wei, Juncheng Wei, 2011, Journal of Mathematical Biology.

Droplet solutions in the diblock copolymer problem with skewed monomer composition

Xiaofeng Ren, Juncheng Wei, 2006 .

Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2006 .

Infinitely many positive solutions for the nonlinear Schrödinger equations in $${\mathbb{R}^N}$$

Juncheng Wei, Shusen Yan, Juncheng Wei, 2010 .

Concentrically layered energy equilibria of the di-block copolymer problem

Xiaofeng Ren, Juncheng Wei, 2002, European Journal of Applied Mathematics.

Collapsing steady states of the Keller–Segel system

Manuel del Pino, Juncheng Wei, Juncheng Wei, 2006 .

Conditions for two-peaked solutions of singularly perturbed elliptic equations

Juncheng Wei, 1998 .

On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems

Changfeng Gui, Juncheng Wei, Juncheng Wei, 2000, Canadian Journal of Mathematics.

Resonant states for the static Klein–Gordon–Maxwell–Proca system

Juncheng Wei, Emmanuel Hebey, 2012 .

Mathematical Aspects of Pattern Formation in Biological Systems

Matthias Winter, Juncheng Wei, Juncheng Wei, 2013 .

Asymptotic behavior of a nonlinear fourth order eigenvalue problem

Juncheng Wei, Juncheng Wei, 1996 .

The stability of spike solutions to the one-dimensional Gierer—Meinhardt model

Michael J. Ward, David Iron, Juncheng Wei, 2001 .

On the two-dimensional Gierer-Meinhardt system with strong coupling

Matthias Winter, Juncheng Wei, Juncheng Wei, 1999 .

Zigzag and Breakup Instabilities of Stripes and Rings in the Two-Dimensional Gray–Scott Model

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2006 .

On large ring solutions for Gierer–Meinhardt system in R3

Juncheng Wei, Theodore Kolokolnikov, Wen Yang, 2013 .

Spikes for the Gierer-Meinhardt system in two dimensions: The strong coupling case

Matthias Winter, Juncheng Wei, Juncheng Wei, 2002 .

Steady State Solutions of a Reaction‐Diffusion System Modeling Chemotaxis

Juncheng Wei, Guofang Wang, Juncheng Wei, 2002 .

On the interior spike layer solutions to a singularly perturbed Neumann problem

Juncheng Wei, Juncheng Wei, 1998 .

Asymmetric Spotty Patterns for the Gray–Scott Model in R2

Matthias Winter, Juncheng Wei, Juncheng Wei, 2003 .

Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field

Matthias Winter, John Norbury, Juncheng Wei, 2002 .

On interacting bumps of semi-classical states of nonlinear Schrödinger equations

Juncheng Wei, Xiaosong Kang, Juncheng Wei, 2000, Advances in Differential Equations.

Radial Solutions and Phase Separation in a System of Two Coupled Schrödinger Equations

Tobias Weth, Juncheng Wei, Juncheng Wei, 2008 .

Boundary-clustered interfaces for the Allen–Cahn equation

Wei-Ming Ni, Juncheng Wei, Andrea Malchiodi, 2007 .

Molecular Chirality and Soliton-stripe Pattern in Liquid Crystal Films

Xiaofeng Ren, Juncheng Wei, Juncheng Wei, 2003 .

Chiral Symmetry Breaking and the Soliton-Stripe Pattern in Langmuir Monolayers and Smectic Films ∗†

Xiaofeng Ren, Juncheng Wei, Juncheng Wei, 2004 .

Infinitely many positive solutions for the nonlinear Shcrodinger equations in $R^N$

Juncheng Wei, Juncheng Wei, 2008, 0804.4031.

Infinitely many solutions for the prescribed scalar curvature problem on SN

Juncheng Wei, Shusen Yan, Juncheng Wei, 2010 .

Numerical Challenges for Resolving Spike Dynamics for Two One‐Dimensional Reaction‐Diffusion Systems

Michael J. Ward, Juncheng Wei, M. Ward, 2003 .

Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem

Juncheng Wei, Teresa D'Aprile, Juncheng Wei, 2005 .

Stationary solutions for the Cahn-Hilliard equation

Matthias Winter, Juncheng Wei, Juncheng Wei, 1998 .

The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2012, 1201.3090.

On Phase-Separation Models: Asymptotics and Qualitative Properties

Tai-Chia Lin, Henri Berestycki, Juncheng Wei, 2013 .

On ring-like solutions for the Gray–Scott model: existence, instability and self-replicating rings

Juncheng Wei, Theodore Kolokolnikov, T. Kolokolnikov, 2005, European Journal of Applied Mathematics.