Publications (99)
Logarithmic Expansions and the Stability of Periodic Patterns of Localized Spots for Reaction-Diffusion Systems in $\R^2
David Iron, John Rumsey, Michael J. Ward +1
Convergence rate, location and $\partial_z^2$ condition for fully bubbling solutions to SU(n+1) Toda Systems
Changshou Lin, Juncheng Wei, Lei Zhang
Delaunay-type singular solutions for the fractional Yamabe Problem
A. DelaTorre, M. del Pino, M. d. M. Gonzalez +1
Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem
Monica Musso, Juncheng Wei
Existence theorems of the fractional Yamabe problem
Seunghyeok Kim, Monica Musso, Juncheng Wei
Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrödinger equations
Weiwei Ao, Monica Musso, Juncheng Wei
Orbital stability of bound states of nonlinear Schrodinger equations with linear and nonlinear optical lattices
Tai-Chia Lin, Juncheng Wei, Wei Yao
Traveling wave solutions for bistable fractional Allen-Cahn equations with a pyramidal front
Hardy Chan, Juncheng Wei
On Entire Solutions of an Elliptic System Modeling Phase Separations
Henri Berestycki, Susanna Terracini, Kelei Wang +1
Half-Skyrmions and Spike-Vortex Solutions of Two-Component Nonlinear Schrodinger Systems
Tai-Chia Lin, Juncheng Wei
A gluing approach for the fractional Yamabe problem with isolated singularities
Weiwei Ao, Azahara DelaTorre, Maria del Mar Gonzalez +1
On Helmholtz equation and Dancer's type entire solutions for nonlinear elliptic equations
Yong Liu, Juncheng Wei
Concentrating standing waves for the fractional nonlinear Schrödinger equation
Juan Dávila, Manuel del Pino, Juncheng Wei
Multi-bump solutions of $-Îu=K(x)u^{\frac{n+2}{n-2}}$ on lattices in $R^n$
YanYan Li, Juncheng Wei, Haoyuan Xu
On Rank Two Toda System with Arbitrary Singularities: Local Mass and New Estimates
Changshou Lin, Juncheng Wei, Wen Yang +1
Classification of the stable solution to the fractional $2<s<3$ Lane-Emden equation
Senping Luo, Juncheng Wei, Wenming Zou
Global minimizers of the Allen-Cahn equation in dimension $n\geq 8$
Yong Liu, Kelei Wang, Juncheng Wei
Second order estimates on transition layers
Kelei Wang, Juncheng Wei
Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem
Monica Musso, Juncheng Wei
On Delaunay solutions of a biharmonic elliptic equation with critical exponent
Zongming Guo, Xia Huang, Liping Wang +1
Nondegeneracy of harmonic maps from $\mathbb R^2$ to $\mathbb S^2$
Guoyuan Chen, Yong Liu, Juncheng Wei
Nondegeneracy, Morse Index and Orbital Stability of the Lump Solution to the KP-I Equation
Yong Liu, Juncheng Wei
Multi-bump ground states of the fractional Gierer-Meinhardt system in $\mathbb{R}$
Juncheng Wei, Wen Yang
Infinite time blow-up for half-harmonic map flow from $\mathbb{R}$ into $\mathbb{S}^1$
Yannick Sire, Juncheng Wei, Youquan Zheng
On the fractional Lane-Emden equation
Louis Dupaigne, Juan Davila, Juncheng Wei
The Lin-Ni's problem for mean convex domains
Olivier Druet, Frédéric Robert, Juncheng Wei
On finite Morse index solutions to the quadharmonic Lane-Emden equation
Senping Luo, Juncheng Wei, Wenming Zou
Superfluids Passing an Obstacle and Vortex Nucleation
Fanghua Lin, Juncheng Wei
Serrin's Overdetermined Problem and Constant Mean Curvature Surfaces
Manuel del Pino, Frank Pacard, Juncheng Wei
Desingularization of Clifford Torus and Nonradial Solutions to Yamabe Problem with Maximal Rank
MarÃa Medina, Monica Musso, Juncheng Wei
Local profile of fully bubbling solutions to SU(n+1) Toda Systems
Chang-Shou Lin, Juncheng Wei, Lei Zhang
Stable Boundary Spike Clusters for the Two-Dimensional Gierer-Meinhardt System
Weiwei Ao, Juncheng Wei, Matthias Winter
Multi-vortex traveling waves for the Gross-Pitaevskii equation and the Adler-Moser polynomials
Yong Liu, Juncheng Wei
On stable solutions of the fractional Henon-Lane-Emden equation
Mostafa Fazly, Juncheng Wei
A pointwise inequality for the fourth order Lane-Emden equation
Mostafa Fazly, Juncheng Wei, Xingwang Xu
Type II blow-up in the 5-dimensional energy critical heat equation
Manuel del Pino, Monica Musso, Juncheng Wei
Two-end solutions to the Allen-Cahn equation in $\mathbb{R}^{3}$
Changfeng Gui, Yong Liu, Juncheng Wei
Nondegeneracy of the traveling lump solution to the $2+1$ Toda lattice
Yong Liu, Juncheng Wei
Classification of blowup limits for SU(3) singular Toda systems
Changshou Lin, Juncheng Wei, Lei Zhang
Degree counting and shadow system for $SU(3)$ Toda system: one bubbling
Chang-Shou Lin, Juncheng Wei, Wen Yang
On the uniqueness of solutions of an nonlocal elliptic system
Kelei Wang, Juncheng Wei
Symbiotic Bright Solitary Wave Solutions of Coupled Nonlinear Schrodinger Equations
Tai-Chia Lin, Juncheng Wei
A non-compactness result on the fractional Yamabe problem in large dimensions
Seunghyeok Kim, Monica Musso, Juncheng Wei
Qualitative Analysis of Rupture Solutions for an MEMS Problem
Juan Davila, Kelei Wang, Juncheng Wei
Sign-changing blowing-up solutions for the critical nonlinear heat equation
Manuel del Pino, Monica Musso, Juncheng Wei +1
Infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials
Manuel del Pino, Juncheng Wei, Wei Yao
Properties of positive solutions of an Elliptic Equation with negative exponents
Li Ma, Juncheng Wei
Homoclinic solutions for fourth order traveling wave equations
Sanjiban Santra, Juncheng Wei
Non-degeneracy of Gauss curvature equation with negative conic singularity
Juncheng Wei, Lei Zhang
Non-compactness and infinite number of conformal initial data sets in high dimensions
Bruno Premoselli, Juncheng Wei
Nonlocal Minimal Lawson Cones
Juan Davila, Manuel del Pino, Juncheng Wei
On least Energy Solutions to A Semilinear Elliptic Equation in A Strip
Henri Berestycki, Juncheng Wei
Classification of blow-up limits for the sinh-Gordon equation
Aleks Jevnikar, Juncheng Wei, Wen Yang
The Toda system and multiple-end solutions of autonomous planar elliptic problems
Manuel del Pino, MichaÅ Kowalczyk, Frank Pacard +1
Infinitely many positive solutions for nonlinear equations with non-symmetric potential
Weiwei Ao, Juncheng Wei
Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model
Henri Berestycki, Juncheng Wei, Matthias Winter
Transition Layer for the Heterogeneous Allen-Cahn Equation
Fethi Mahmoudi, Andrea Malchiodi, Juncheng Wei
Classification of the stable solution to biharmonic problems in large dimensions
Juncheng Wei, Xingwang Xu, Wen Yang
On the triharmonic Lane-Emden equation
Senping Luo, Juncheng Wei, Wenming Zou
New blow-up phenomena for SU(n+1) Toda system
Monica Musso, Angela Pistoia, Juncheng Wei
Finite Morse index implies finite ends
Kelei Wang, Juncheng Wei
Infinitely many solution for prescribed curvature problem on $S^N$
Juncheng Wei, Shusen Yan
On Lin-Ni's conjecture in dimensions four and six
Juncheng Wei, Bing Xu, Wen Yang
Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones
Frank Pacard, Juncheng Wei
Mesa-type patterns in the one-dimensional Brusselator and their stability
Theodore Kolokolnikov, Thomas Erneux, Juncheng Wei
Solutions without any symmetry for semilinear elliptic problems
Weiwei Ao, Monica Musso, Frank Pacard +1
On the Topological degree of the Mean field equation with two parameters
Aleks Jevnikar, Juncheng Wei, Wen Yang
Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition
Frederic Robert, Juncheng Wei
On De Giorgi Conjecture in Dimension $N \geq 9$
Manuel del Pino, Mike Kowalczyk, Juncheng Wei
Catenoidal layers for the Allen-Cahn equation in bounded domains
O. Agudelo, Manuel del Pino, Juncheng Wei
Classification and nondegeneracy of $SU(n+1)$ Toda system with singular sources
Chang-Shou Lin, Dong Ye, Juncheng Wei
Nonlocal $s$-minimal surfaces and Lawson cones
Juan Dávila, Manuel del Pino, Juncheng Wei
The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer-Meinhardt Model
Daniel Gomez, Michael J. Ward, Juncheng Wei
A complete classification of finite Morse index solutions to elliptic sine-Gordon equation in the plane
Yong Liu, Juncheng Wei
Stable spike clusters for the precursor Gierer-Meinhardt system in R2
Juncheng Wei, Matthias Winter, Wen Yang
Boundary concentrations on segments
Weiwei Ao, Hardy Chan, Juncheng Wei
Higher Order Conformally Invariant Equations in R^3 with Prescribed Volume
Ali Hyder, Juncheng Wei
Regularization of point vortices for the Euler equation in dimension two
Daomin Cao, Zhongyuan Liu, Juncheng Wei
Toda systems and hypergeometric equations
Chang-Shou Lin, Zhaohu Nie, Juncheng Wei
Uniqueness and nondegeneracy of sign-changing radial solutions to an almost critical elliptic problem
Weiwei Ao, Juncheng Wei, Wei Yao
Non-compactness of the Prescribed Q-curvature Problem in Large Dimensions
Juncheng Wei, Chunyi Zhao
Infinitely many positive solutions for the nonlinear Shcrodinger equations in $R^N$
Juncheng Wei
Axially symmetric solutions of Allen-Cahn equation with finite Morse index
Changfeng Gui, Kelei Wang, Juncheng Wei
Bound state solutions for the supercritical fractional Schrödinger equation
Weiwei Ao, Hardy Chan, Maria del Mar Gonzalez +1
On solutions with polynomial growth to an autonomous nonlinear elliptic problem
Kelei Wang, Juncheng Wei
Regularization of point vortices for the Euler equation in dimension two, part II
Daomin Cao, Zhongyuan Liu, Juncheng Wei
An optimal bound on the number of interior spike solutions for Lin-Ni-Takagi problem
Weiwei Ao, Juncheng Wei, Jing Zeng
On Non-topological Solutions of the ${\bf G}_2$ Chern-Simons System
Weiwei Ao, Chang-Shou Lin, Juncheng Wei
The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime
Theodore Kolokolnikov, Michael Ward, Juncheng Wei
Interface Foliation Near Minimal Submanifolds in Riemannian Manifolds with Positive Ricci Curvature
Manuel del Pino, Michal Kowalczyk, Juncheng Wei +1
A Monotonicity Formula and a Liouville-type Theorem for a Fourth Order Supercritical Problem
Juan Davila, Louis Dupaigne, Kelei Wang +1
Entire Solutions of the Allen-Cahn equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in $\R^3$
Manuel del Pino, Mike Kowalczyk, Juncheng Wei
On a free boundary problem and minimal surfaces
Yong Liu, Kelei Wang, Juncheng Wei
On the equation $p \frac{Î(\frac{n}{2}-\frac{s}{p-1})Î(s+\frac{s}{p-1})}{Î(\frac{s}{p-1})Î(\frac{n-2s}{2}-\frac{s}{p-1})} =\frac{Î(\frac{n+2s}{4})^2}{Î(\frac{n-2s}{4})^2}$
Senping Luo, Juncheng Wei, Wenming Zou
New entire positive solution for the nonlinear Schrodinger equation: Coexistence of fronts and bumps
Sanjiban Santra, Juncheng Wei
On finite Morse index solutions of higher order fractional Lane-Emden equations
Mostafa Fazly, Juncheng Wei
On Serrin's overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg
Kelei Wang, Juncheng Wei
A compactness theorem of the fractional Yamabe problem, Part I: The non-umbilic conformal infinity
Seunghyeok Kim, Monica Musso, Juncheng Wei
On one phase free boundary problem in $\mathbb{R}^{N}$
Yong Liu, Kelei Wang, Juncheng Wei