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1

Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles

Jann-Long Chern, Zhi-You Chen, Chang-Shou Lin

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 425 KB

english, 2010

2

The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model

Chen, Zhi-You, Chern, Jann-Long

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2019

Language:

english

File:

PDF, 513 KB

english, 2019

3

Smoothness and Periodicity of Some Matrix Decompositions

Chern, Jann-Long, Dieci, Luca

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 253 KB

english, 2001

4

Uniqueness of positive solutions to some coupled cooperative variational elliptic systems

An, Yulian, Chern, Jann-Long, Shi, Junping

Journal:

Transactions of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 1.03 MB

english, 2018

5

The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory

Yang, Sze-Guang, Chen, Zhi-You, Chern, Jann-Long

Journal:

Journal of Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 446 KB

english, 2017

6

Topological Multivortex Solutions for the Chern-Simons System with Two Higgs Particles

Chen, Zhi-You, Chern, Jann-Long

Journal:

Communications in Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 480 KB

english, 2016

7

Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations

Chern, Jann-Long, Chen, Zhi-You, Tang, Yong-Li

Journal:

Transactions of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 639 KB

english, 2011

8

Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials

Chern, Jann-Long, Yanagida, Eiji

Journal:

Mathematische Annalen

Year:

2020

File:

PDF, 379 KB

2020

9

Evaluating solutions on an elliptic problem in a gravitational gauge field theory

Chern, Jann-Long, Yang, Sze-Guang

Journal:

Journal of Functional Analysis

Year:

2013

Language:

english

File:

PDF, 278 KB

english, 2013

10

On the solutions to a Liouville-type system involving singularity

Zhi-You Chen, Jann-Long Chern, Yong-Li Tang

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 390 KB

english, 2012

11

The structure of radial solutions for elliptic equations arising from the spherical Onsager vortex

Chen, Zhi-You, Chern, Jann-Long, Tang, Yong-Li

Journal:

Tohoku Mathematical Journal

Year:

2009

Language:

english

File:

PDF, 179 KB

english, 2009

12

On the uniqueness and structure of solutions to a coupled elliptic system

Zhi-You Chen, Jann-Long Chern, Junping Shi, Yong-Li Tang

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 315 KB

english, 2010

13

On the Classification of Standing Wave Solutions for the Schrödinger Equation

Chern, Jann-Long, Chen, Zhi-You, Chen, Jhih-He, Tang, Yong-Li

Journal:

Communications in Partial Differential Equations

Year:

2010

Language:

english

File:

PDF, 272 KB

english, 2010

14

On the Semilinear Elliptic Equations Δu + β(1 + |x|)μup − γ(1 + |x|)νuq = 0 ((1.1)) in Rn

Jann-Long Chern, Yong-Li Tang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2000

Language:

english

File:

PDF, 103 KB

english, 2000

15

The non-topological fluxes of a two-particle system in the Chern–Simons theory

Chern, Jann-Long, Yang, Sze-Guang

Journal:

Journal of Differential Equations

Year:

2014

Language:

english

File:

PDF, 335 KB

english, 2014

16

Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system

Jann-Long Chern, Zhi-You Chen, Yong-Li Tang, Chang-Shou Lin

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 179 KB

english, 2009

17

A Divergence-type Identity in a Punctured Domain and its Application to a Singular Polyharmonic Problem

Jann-Long Chern, Sze-Guang Yang

Journal:

Journal of Dynamics and Differential Equations

Year:

2004

Language:

english

File:

PDF, 159 KB

english, 2004

18

The limit sets of dynamical systems on spheres

Jann-Long Chern, Sze-Guang Yang

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1996

Language:

english

File:

PDF, 452 KB

english, 1996

19

Existence, uniqueness and stability of positive solutions to sublinear elliptic systems

Chern, Jann-Long, Tang, Yong-Li, Lin, Chang-Shou, Shi, Junping

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2011

Language:

english

File:

PDF, 221 KB

english, 2011

20

Uniqueness of topological multivortex solutions in the Maxwell–Chern–Simons model

Chen, Zhi-You, Chern, Jann-Long

Journal:

Journal of Functional Analysis

Year:

2016

Language:

english

File:

PDF, 778 KB

english, 2016

21

On the blow-up and positive entire solutions of semilinear elliptic equations

Chern, Jann-Long

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2000

File:

PDF, 251 KB

2000

22

Uniqueness of topological vortex in a self-dual Maxwell-Chern-Simons-Higgs system

Chern, Jann-long, Yang, Sze-Guang

Journal:

Indiana University Mathematics Journal

Year:

2015

File:

PDF, 232 KB

2015

23

Properties of solutions to semilinear elliptic problem with Hardy potential

Chern, Jann-Long, Hashizume, Masato, Hwang, Gyeongha

Journal:

Journal of Differential Equations

Year:

2020

Language:

english

File:

PDF, 1.19 MB

english, 2020

24

Asymptotic behavior of equilibrium states of reaction–diffusion systems with mass conservation

Chern, Jann-Long, Morita, Yoshihisa, Shieh, Tien-Tsan

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.04 MB

english, 2017

25

On the solution structures of the semilinear elliptic equations on ℝn

Jann-Long Chern

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 595 KB

english, 1997

26

Erratum to “On the Classification of Standing Wave Solutions for the Schrödinger Equation”

Chern, Jann-Long, Chen, Zhi-You, Tang, Yong-Li

Journal:

Communications in Partial Differential Equations

Year:

2010

Language:

english

File:

PDF, 79 KB

english, 2010

27

The symmetry of least-energy solutions for semilinear elliptic equations

Jann-Long Chern, Chang-Shou Lin

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 277 KB

english, 2003

28

Minimizers of Caffarelli–Kohn–Nirenberg Inequalities with the Singularity on the Boundary

Jann-Long Chern, Chang-Shou Lin

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 334 KB

english, 2010

29

On the blow-up and positive entire solutions of semilinear elliptic equations

Chern, Jann-Long

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2000

Language:

english

File:

PDF, 251 KB

english, 2000

30

Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation

Jann-Long Chern, Eiji Yanagida

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 246 KB

english, 2006

31

Existence of positive entire solutions of some semilinear elliptic equations

Kuo-Shung Cheng, Jann-Long Chern

Journal:

Journal of Differential Equations

Year:

1992

Language:

english

File:

PDF, 433 KB

english, 1992

32

Existence and uniqueness of singular solutions for elliptic equation on the hyperbolic space

Wu, Yen-Lin, Chen, Zhi-You, Chern, Jann-Long, Kabeya, Y.

Journal:

Communications on Pure and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 371 KB

english, 2013

33

The structure of radial solutions for elliptic equations arising from the spherical Onsager vortex

Chen, Zhi-You, Chern, Jann-Long, Tang, Yong-Li

Journal:

Tohoku Mathematical Journal

Year:

2009

File:

PDF, 179 KB

2009

34

A classification of semilocal vortices in a Chern–Simons theory

Chern, Jann-Long, Chen, Zhi-You, Yang, Sze-Guang

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2016

Language:

english

File:

PDF, 416 KB

english, 2016

35

A survey of solutions in a gravitational Born-Infeld theory

Chern, Jann-Long, Yang, Sze-Guang

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 653 KB

english, 2014

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