Selected Publications 
研究成果目錄：論文及著述 A.
Publications Journals (Selected)
1.
Y. An, JannLong Chern and J. Shi (2018, Jul). Uniqueness of Positive Solution
To Some Coupled Cooperative Variational Elliptic Systems. Transactions of
the American Mathematical Society, 370 (2018), no. 7, 5209–5243. MOST
1042115M008010MY3.
2.
JannLong Chern, Y. Morita and T. Shieh (2018, Jan). Asymptotic behavior of
equilibrium states of reactiondiffusion systems with mass conservation.
Journal of Differential Equations, 264(2018)550–574. MOST
1042115M008010MY3.
本人為第一作者.
3.
S. Yang, Z. Chen and JannLong Chern (2017, Jul). The Solutions Structure of the
$O(3)$ sigma model in a MaxwellChernSimons Theory. Journal of
Mathematical Physics, Vol.58, Issue 7, 071503 (2017), DOI:
10.1063/1.4994060. MOST 1042115M008010MY3.
本人為通訊作者.
4.JannLong
Chern and E. Yanagida. Singular solutions of the scalar field equation with a
critical exponent..
Geometric properties for parabolic and elliptic PDE's, 277–288, Springer Proc.
Math. Stat., 176, Springer, [Cham], 2016.
(ISBN: 9783319415369). Springer International Publishing Switzerland 2016:
Springer Chan. Aug, 2016: 277–288 (PROMS, volume 176).
MOST 1042115M008010MY3.
5.
JannLong Chern*, S. Yotsutani, N. Kawano (2017, Dec). A Note on the Uniqueness
and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems.
Equadiff 2017, Bratislava, Slovakia, July 2428, 2017 , Bratislava,
Slovakia, July 2428, 2017. MOST 1042115M008010MY3.
本人為第一作者、通訊作者
6.
Chen and JannLong Chern*, Topological Multivortex Solutions
for ChernSimons
Model with Two Higgs Particles.
Communications in Partial Differential Equations
41 (2016), no. 4,
705–731. (SCI)
7.
JannLong Chern*,
Z. Chen and S. Yang, A Classification of
Semilocal
Vortices in a ChernSimons Theory.
Ann. Inst. H.
Poincaré Anal. Non Linéaire
33 (2016), no. 2,
575–595. (SCI)
8.
Z.
Chen and JannLong Chern*, Uniqueness of Topological
Multivortex
Solutions in the MaxwellChernSimons Model. Journal of Functional
Analysis, 270 (2016), no. 6, pp. 20732125 (53 Pages).(SCI)
9. Jannlong Chern* and S.
Yang, Uniqueness of topological vortex in a selfdual MaxwellChernSimonsHiggs
system. Indiana University Mathematics Journal, 64, No. 6 (2015),
1747–1766. (SCI)
10. JannLong Chern* and S.
Yang, A survey of solutions in a gravitational BornInfeld theory.
Journal of
Mathematical Physics,
55 (2014), no. 3,
031501, 24 pp. (SCI)
11. JannLong Chern* and S.
Yang, The Nontopological Fluxes of a Twoparticle System in the ChernSimons
Theory .
Journal of
Differential Equations
256 (2014), no. 10,
3417–3439. (SCI)
12. Y. Wu,Z. Chen, JannLong Chern
and Y. Kabeya, Existence and Uniqueness of Singular Solutions for Elliptic
Equation on the Hyperbolic Space. Communications on Pure and Applied
Analysis,
13 (2014), no. 2,
949–960. (SCI)
13.
JannLong Chern* and S. Yang, Evaluating solutions on an elliptic problem
in a gravitational gauge field theory. Journal of Functional Analysis, 265
(2013), no. 7, 1240–1263. (SCI)
14. JannLong Chern*, Y. Tang,
C. Chyan and Y. Chen, On the Uniqueness of Singular Solutions for a HardySobolev
Equation. Discrete and Continuous Dynamical
Systems, 2013,
Dynamical systems, differential equations and applications. 9th AIMS Conference. Suppl.,
123–128.
15.
JannLong Chern*,
Z. Chen and Y. Tang, Structure of Solutions to a Singular Liouville System
Arising from Modeling Dissipative stationary Plasmas. Discrete and
Continuous Dynamical System A, 33(6), 2013, 22992318. (SCI)
16. JannLong Chern, Z. Chen*
and Y. Tang, On the Solutions to a Liouvilletype System Involving Singularity.
Calculus of Variations and Partial Differential Equation, 43 (2012),
5381. (SCI)
17.
JannLong Chern*, Z. Chen and Y. Tang,
Uniqueness of Finite Total Curvatures and Structure of Radial Solutions for
Nonlinear Elliptic Equations. Transactions of the American Mathematical
Society, 363 (2011), 32113231. (SCI)
18. JannLong Chern, C.S.
Lin, J. Shi and Y. Tang*, Existence, uniqueness and stability of positive
solution to sublinear elliptic systems. Proceedings of the Royal Society
of Edinburgh Section A 141 (2011), no. 1, 4564, (SCI)
19.
JannLong Chern*,
Z. Chen, J. Shi and Y. Tang, On the Uniqueness and Structure of Solutions to a
Coupled Elliptic System, Journal of Differential Equations, 249 (2010),
34193442. (SCI).
20. Z. Chen, JannLong
Chern and Y. Tang*, Erratum to "On the Classification of Standing Wave
Solutions for the Schrodinger Equation", Vol. 35, 275301. Communications
in Partial Differential Equations, 35 (2010)，P.1920P.1921.
(SCI).
21.
JannLong Chern
and C.S. Lin,
Minimizers of CaffarelliKohnNirenberg inequalities with singularity on the
boundary, Archive for Rational Mechanics and Analysis, 197 (2010),
401432. (SCI).
22. JannLong Chern*,
C.S. Lin and Z. Chen, Uniqueness of Topological Solutions and the Structure of
Solutions for the ChernSimons System with Two Higgs Particles.
Communications in Mathematical Physics, Vol.296 (2010),P.323P.351. (SCI).
23. JannLong Chern*,
Z. Chen, J. Chen and Y. Tang, On the Classification of Standing Wave Solutions
for the Schrodinger Equation, Communications in Partial Differential
Equations,
35 (2010), no. 2,
275–301. (SCI)
24. JannLong Chern*,
Z. Chen and Y. Tang, Uniqueness and structure of Solutions to the Derichlet
Problem for an Elliptic System, Journal of Differential Equations 246
(2009), 37043714. (SCI)
25.JannLong
Chern, Z.
Chen and Y. Tang, The Structure of Radial Solutions for Elliptic Equations from
the Spherical Onsager Vortex, Tohoku of Mathematical Journal 61 (2009),
287307. (SCI)
26.JannLong
Chern* and
E. Yanagida, Structure of Set of Regular and Singular Radial Solutions for a
Semilinear Elliptic Equation, Journal of Differential Equations 224
(2006), Issue 2, 440463. (SCI)
27.
JannLong Chern*
& S. Yang, On the applications from the divergencetype identity in punctured
domain, Recent advances in elliptic and parabolic problems, W. Sci. Pub.,
Hac. NJ, 2005, 3539.
28.JannLong
Chern* & S.
Yang, A divergencetype identity in punctured domain and its application to
singular polyharmonic problem, Journal of Dynamics and Differential
Equations 16 (2004), No. 3, 587604. (SCI)
29.JannLong
Chern & C.
Lin, The Symmetry of LeastEnergy Solutions for Semilinear Elliptic Equations, Journal
of Differential Equations 187(2003), No. 2, 240268. (SCI)
30.JannLong
Chern and
D. Luca, Smoothness and Periodicity of Some Matrix Decompositions,
SIAM J. Matrix
Anal. Appl.
22 (2000), no. 3,
772–792. (SCI)
31.JannLong
Chern*, On
the BlowUp and Positive Entire Solutions of Semilinear Elliptic Equations,
P. Edinburgh Math. Society (2000) 43, 625631. (SCI)
32.JannLong
Chern* and
Y. Tang, On the Semilinear Elliptic Equations $\triangle u+{\beta\over{(1+x)^\mu}u^p{\gamma\over{(1+x)^\nu}u^q=0$
in $R^n$, Journal Math. Anal. Appl. 244, 2738 (2000). (SCI)
33.JannLong
Chern* and
S. Huang, The Asymptotic Stability of Some Integrodifferential Equations,
Bull. K. Math. Soc. 37 (2000), No. 2, pp. 273283. (SCI)
34.JannLong
Chern* and
S.Z. Huang, The Global Stability in Delay Equation Models of Hamematopoiesis,
P. Natl. Sci. Counc. A: Phys. Sci. Engin. Vol. 24, No 4 (2000) pp.
293300.
35.JannLong
Chern* and
D. Luca, Smooth and periodicity of some matrix decompositions, Center for
Dynamical System & Nonlinear Studies, GA Tech, Report CDSNS 99324. (1999)
36.JannLong
Chern*, On
the Solution Structures of the Semilinear Elliptic equations on R^{ n} ,
Nonlinear Anal. TM & A, 28.(1997), pp.17411750. (SCI)
37.JannLong
Chern*,
Existence ans Asymptotic Behavior of Singular Solutions of Quasilinear Elliptic
Equations in R^{ n}, Taiwanese Journal of Math., 1(1997),
pp.195207. (SCI)
38.JannLong
Chern* and
S.Yang, The Limit Sets of Dynamical Systems on Spheres, Nonlinear Anal. TM
& A, 26 (1996), pp.15651572. (SCI)
39.JannLong
Chern, W.
Lian and C. Yeh, Oscillation criteria for 2^{nd} order halflinear
differential equations with functional arguments, Publicat. Math.,
48(1996), pp.209216. (SCI)
40.JannLong
Chern*,
Positive Radial Solutions for
△μ+lxl^{
m} K(x)u^{ p} = 0 in R^{ n}, P. N.P. A: Phys.Sci.
and Engin., 17 (1993), pp.449459.
41.JannLong
Chern* and
K. Cheng, Conformal Metrices with Prescribed Curture on S^{ n} ,
Journal of Differential Equations, 106 (1993), pp.155185. (SCI)
42.JannLong
Chern* and
K. Cheng, Existence of Positive Entire Solutions of Some Semilinear Elliptic
Equations, Journal of Differential Equations, 98 (1992), pp.169181. (SCI)
B.
Awards or Honors received

Outstanding
Research Award of National Science Council, Taiwan (2012/08~2015/07) (國科會101學年度傑出研究獎)

2016/01~2018/12
Distinguished Professorship of National Central University, Taiwan (中央大學特聘教授)

2013/01~2015/12
Distinguished Professorship of National Central University, Taiwan (中央大學特聘教授)

2010/01~2012/12
Distinguished Professorship of National Central University, Taiwan (中央大學特聘教授)

2011/082012/07 Center Scientist
of National Center for Theoretical Sciences, Taiwan (國科會理論科學研究中心(NCTS)數學組中心科學家)

Award for Publication in Top
Journal, College of Science, National Central University, Taiwan
(2010~2014).
C.
Academic Services
(Selected)

Associate Editors of TAIWANESE JOURNAL OF MATHEMATICS
(2017/08~)

Advisory Committee Member
of Ministry of Science and Technology(MOST) (2017~)

Equadiff 14,
Invited minisymposia organizer and Invited Speaker on "Elliptic Equations
and Systems from Gauge Field Theories and Mathematical Physics", Bratislava,
Slovakia, July 2428, 2017

12^{TH}
AIMS Conference on DCDSA, July 79, 2018, Taipei, Taiwan, Invited Session
Organizer and Speaker.

8^{TH}
TaiwanJapan Joint Workshop for Young Scholars in Applied Mathematics, March
912, 2017, Hiroshima University, Japan, One of Organizers.

The 7th Pacific RIM Conference
on Mathematics 2016, Invited speaker on ”Qualitative properties of solutions
of nonlinear PDEss”, NSU, Seoul, Korea, June 27–July 1, 2016.

Workshop on recent development
in reactiondiffusion equations, February 26, 2016, Organizer and Invited
Speakerm NCTS, Taiwan.

The 7th TaiwanJapan Joint
Workshop for Young Scholars in Applied Mathematics February 27~29, 2016,
Organizer.

Workshop on recent development
in reactiondiffusion equations, February 26, 2016, Organizer and Invited
Speakerm NCTS, Taiwan.

2016, July 1July 5, Sessions
Organizer of “The 11^{th} AIMS Conference on Dynamical System,
Differential Equations and Applications, Orlando, Florida, USA”

2012/012014/12
Grant Panel Member of Ministry of Science and
Technology(MOST) (科技部自然司數學學門審議委員2012/012014/12)

2nd Applied Mathematics Workshop
of NCUCityU, NCU, Taiwan, 2015/11/132015/11/14.(Organizer)

2012/08~2015/07 Chairman of
Department of Mathematics, National Central University, Taiwan

2012/08~ 2015/07 Chairman of
Center of Mathematics and Theoretical Physics, National Central University,
Taiwan

20102016, One of the Organizers
of ｢The 1 st7th
TaiwanJapan Joint Workshop for Young Scholars in Applied Mathematics｣,
Once of a year between Taiwan and Japan.

20122015 Committee, Researching
Committee of Chinese Mathematical Society.

20142015 Scientific Committee,
Annual Meeting of the Mathematical Society, Taiwan,

2014, July 711, Sessions
Organizer of "The 10th AIMS Conference on DSAE&A, Madrid, Spain"

2012 July 15, Session Organizer
of "9th AIMS Conference, Orlando, Florida, USA"

JannLong Chern, One of
Organizers of the “2012 NCTS (Taiwan)  POSTECH (Korea) Joint Workshop on
Partial Differential Equations”, Nov. 89, 2012.

Joint Workshop on Partial
Differential Equations”, Nov. 89, 2012.

2011~2012 Program Committee and
Execute Committee of NCTS, Taiwan

2007/08~2008/07 Visiting
Professor of NCTS, Taiwan

2006~2009, Committee and
Research Committee of Chinese Mathematical Society

2000/01 Visiting Professor of
Tokyo University, Japan

1997/08~1998/07 Visiting
Professor of Georgia Institute of Technology, USA
D. Referee of International
Journals: (Selected)
(a) Reviewer of American
Mathematical Review(1993~)
(c)
Referee of the following Journals: (Selected)
Transactions of the American Mathematical Society;
Communcations in Mathematical Physics;
Calculus
of Variations and Partial Differential Equations;
Journal of
Differential Equations;
Journal of Mathematical Physics;
Journal of Dynamics and
Differential Equations
;
Discrete
and Continuous Dynamical System A;
IEEE
Signal Processing Letters; J. Math Anal.Appl.;
Comm. Pure
and App. Anal.; Taiwanese J. of Math;
Applied Math and Mech,
etc.
E. Conferences Papers and Invited
Lectures Talks (Selected)：

JannLong Chern, Invited Speaker of "International Conference on Nonlinear
Analysis and its Applications:, March 2324, 2018.

JannLong Chern, Invited Speaker of "26th Annual Meeting on Differential
Equations and Related Topics", Jan. 67, 2018.

JannLong Chern, Special Invited Lecture on "2017 KMS Annual Meeting,
Korea, October 2729, 2017" (2017년도
대한수학회
정기총회
및
가을
연구발표회,
2017. 10. 27(금)
~ 29(일),
단국대학교(천안캠퍼스)

JannLong Chern, Invited Speaker of "2018 Taiwan Mathematical Society Annual
Meeting".

Equadiff 14, Invited
minisymposia organizer and Invited Speaker on "Elliptic Equations and
Systems from Gauge Field Theories and Mathematical Physics", Bratislava,
Slovakia, July 2428, 2017

JannLong Chern, Uniqueness of positive
solution to a coupled cooperative variational elliptic system on an
interval, Mathematical Analysis on Nonlinear PDES, Tohoku University, Jan.
68, 2017, (Invited Speaker)

JannLong Chern, Organizer of
Session and Invited Speaker of the 11th AIMS Conference on Dynamical
Systems, Differential Equations and Applications, Orlando, Florida, USA,
July 15, 2016.

JannLong Chern, Workshop on
Hamiltonian Systems and Variational Methods, Southeast University, Nanjing,
China, May 3031, 2015 (Invited Speaker)

JannLong Chern, On the Elliptic
Equations of HardySobolev Type with Multiple Boundary Singularities,
National Center for Theoretical Sciences, Taiwan Univ, Dec. 3, 2015
(OneHour Invited Talk).

JannLong Chern, Uniqueness of
positive solution to a coupled cooperative variational elliptic system on an
interval, ChiaoTung Univ, Dec. 8, 2015 (OneHour Invited Talk).

JannLong Chern, Organizer of
Session and Invited Speaker of Section of the 10th AIMS Conference on
Dynamical Systems, Differential Equations and Applications, Madrid, Spain,
July 711, 2014.

JannLong Chern,
CaffarelliKohnNirenberg and HardySobolev Inequality with Boundary
Singularities, The 9th East Asian Conference on PDE, July 2831, 2014, Japan
(Invited Speaker)

JannLong Chern, Organizer of
“The 21th Annual Workshop on Differential Eqns.”, Taiwan, January 1819,
2013.

JannLong Chern, Organizer of
Session SS38 and Invited Speaker of Section SS33 of the 9th AIMS Conference
on Dynamical Systems, Differential Equations and Applications, Orlando,
Florida, USA, July 15, 2012.

JannLong Chern, Invited Two
Lectures Talks (90 Minutes), Summer Seminar on PDE in 2011 夏の偏微分方程式セミナー2011{田邊先生を囲む偏微分方程式研究集会},
Japan, August 18, 2011,

JannLong Chern, Invited 90
Minutes Lecture Talks, June 28, 2011, Tokyo Institute of Technology, Japan.:
(i) Structural Analysis of Solutions to Some Nonlinear Elliptic Systems (ii)
On the Minimizers of (CKN)’s Inequality with the Singularity on the
Boundary.

J.L. Chern,
Minimizers of CaffarelliKohnNirenberg inequality and Related SobolevHardy
Partial Differential Equations, Invited Speaker (50 minutes.) of 2011 Annual
Meeting of Math. Society, Dec. 46, 2011.

J.L. Chern, Uniqueness of
Topological Solutions and The Structure of Solutions for the ChernSimons
Equations with Two Higgs Particles, Nonlinear Phenomena: A View From
Mathematics And Physics, Jan. 1014, 2011. (Invited Poster Section)

J.L. Chern, Uniqueness of
solution to a coupled coorperative system, 19th Workshop on
Differential Equations and its Applications, Invited Lecture Talk, Taiwan,
Jan. 1417, 2011.

J.L. Chern, Minimizers of
CafarelliKohnNirenberg inequality with the singularity on the boundary,
Invited One hour Lecture in 2010 NCTS Workshop on Calculus of Variations and
Related Topic.

J.L. Chern, Uniqueness and
Structures of Solutions for Elliptic System of PDES, Invited Speaker (50
minutes.) of 2009 Annual Meeting of Math. Society, Dec. 46, 2009.

JL. Chern and Eiji Yanagida,
TaiwanJapan Joint Workshop on Partial Differential Equations, Feb. 2326,
2009. (One of the organizers)

J.L. Chern, Minimizers of
CaffarelliKohnNirenberg Inequality with the singularity on the boundary,
Interdisciplinary Conference on Applied Analysis and Mathematics, May 1113,
2009. (Invited Speaker: 50 min.)

J.L. Chern, Structure of the
sets of regular and singular radial solutions for a semilinear elliptic
equation, 7^{th }AIMS Int. Conference on Dynamical Systems, Diff.
Eqns. And Appl, May 1821,2008, USA. (Invited Talk: 40 min.)

J.L. Chern, On the Uniqueness
and Structures of Solutions for the SelfDual ChernSimons Model,
TaiwanTohoku Seminar on Differential Equations, April 15, Tohoku, Japan,
2008, Invited 90 minutes Lecture Talks.

J.L. Chern, On the Reviews and
New Results about the Uniqueness and Structures of Solutions for the Abelian
ChernSimons Model, Invited Speaker of The Annual Meeting of the
Mathematical Society Taiwan, 2008. (Invited Speaker: 50 minutes)

J.L. Chern, On the Uniqueness
and Structure of Solutions for Abelian ChernSimons Model, 2008 Workshop on
Nonlinear Analysis and Geometric Analysis, Academic Sinica, Taiwan. (Invited
Speaker: 50 minutes)

J.L. Chern, Uniqueness of
Topological Solutions and the Structure of Solutions for the ChernSimons
System with Two Higgs Particles, A PDE Day of Taida Institute for
Mathematical Sciences, Nov. 28, 2007. (Invited Speaker: 50 minutes)

J.L. Chern, A divergencetype
identity in punctured domain and its application to singular polyharmonic
problem, AIMS’s Fifth International Conference on Dynamical Systems amd
Differential Equations, Pomona, CA, USA, 2004.

J.L. Chern, The Singular
Solutions for a Semilinear Elliptic Equations with Critical Exponent, Proc..
2003 Anal. And Diff. Eqn. Conference, Tamk. Univ. (Invited Speaker: 50 min.)

J.L. Chern, Ther Symmetry
Problems of the Positive Solutions of Semilinear Elliptic Equations, Fifth
Americas Conference on Differential Equations and Nonlinear Dynamics,
Canada, 2002.

J.L. Chern and C.S. Lin, The
Symmetry of LeastEnergy Solutions for Semilinear Elliptic Equations,
Proceedings of Second East Asia Differential Equations Conference, Korea,
2001.

J.L. Chern, The Singular
Solutions set of Semilinear Elliptic Equations with Critical Exponent, The 2^{nd}
International Congress of Chinese Mathematicans (ICCM), Dec. 1722, Taiwan,
2001.

J.L. Chern, On the set of the
Singular Solutions for Semilinear Elliptic Equations with Critical Exponent,
Proceedings of the Ninth Workshop on Differential Equations and its
Applications, Taiwan, 2001.

J.L. Chern, On the Symmetry of
the LeastEnergy Solutions for Semilinear Elliptic Equations, Spatial
Structure and Dynamics of Solutions for Nonlinear Systems, Jan. 2729, Tokyo
Univ. Japan, 2000.

J.L. Chern, The Symmetry of the
LeastEnergy Solutions for Semilinear Elliptic Equations I, II, Set a
Seminar on Mathematical Analysis, Feb. 56, Ryukoku Univ., Japan 2000.

J.L. Chern, The BlowUp
Solutions of Semlinear Elliptic Equations, Proceeding of 8^{th}
Conference of Differential Equations, Taiwan, 2000.

J.L. Chern, Smooth and Periodic
Factorizations of Time Varying Matrices, Proceedings of the Conference on
Nonlinear Differential Equations and Numerical Analysis, Taiwan, 1999.

J.L. Chern, The Smoothness and
Periodicity of Some Time Varying Matrices, The 1^{st} International
Congress of Chinese Mathematicans (ICCM), Beijing, China, Dec. 1216, 1998.

J.L. Chern and D. Luca, Smooth
and Periodic Factorizations of Time Varying matrices, The third American
Conference on Diff. Eqns. And Nonl. Anal., 1998..

J.L. Chern, On the Solution
Structures of Some Semilinear Elliptic Equations, The Second
TaiwanPhilippine Symposium In Analysis , June 25, TsingHua Univ., Taiwan,
1997.

JannLong Chern, The Structure
of Positive Solutions of Semilinear Elliptic Equations on R^n, The 2nd World
Congress of Nonli. Analy., Internat. Federation of Nonli. Analy., Athens,
Greece, 1996.

JannLong Chern, The Limit Sets
of Dynamical Symtem on Spheres, Proceeding of the 4^{th} Workshop on
Nonlinear Partial Differential Equations, Taiwan, 1996.

JannLong Chern, Positive Radial
Solutions on △μ+lxl^{
m} K(x)u^{ p} = 0 in R^{ n}, Proceed. of 21th Seminar
on Science and Tech., Nonl. PDEs and Appl., Kyoto Univ., Kyoto Japan, 1994.

JannLong Chern, On the
CahnHilliard Equations, Workshop on ReactionDiffusion Equations,
ChungCheng Univ., Sep. 59, 1994.

JannLong Chern, Existence and
Asymptotic Behaviors of Singular Solutions of Quasilinear Elliptic Equations
in R^n, Proceeding of the 1^{st} Workshop on Nonlinear PDES II, pp.
141148, Hsinchu, Taiwan, 1994

J.L.Chern, Existence and
Asymptotic Behavior of Singular Solutions of Elliptic Equations in R^{ n},
Proceeding of the workshop on Nonlinear PDES II, Taiwan (1994), pp.141148.

JannLong Chern, On the Elliptic
Equation △μ+lxl^{
}K(x)u^{ p} = 0 in R^{ n} , Proceeding of the 2^{nd}
Workshop on Nonlinear PDES,, pp.6172, Taiwan, 1993.

JannLong Chern, Existence and
Asymptotic Behavior of Positive Solutions for Quasilinear Elliptic
Equations, 紀念鄧靜華先生學術研討會,
Soochow Univ., Taiwan, 1992.

JannLong Chern, Conformal
Metrices with Prescribed Curvature on S^n, TaiwanJapan Joint Seminar on
Nonlinear PDE (I), Taiwan, 1990.
F.
International Visiting (Slected)
(1) Tokyo I. Technology, Japan,
Oct. 1131, 2015
(2) Osaka Prefecture University, Japan, Nov. 114, 2015.
(3) Southeast University, Nanjing, China, May 3031, 2014.
(4) AIMS, Orlando, Florida, USA, July, 2012
(5) Ryukoku University, 2011
(6) Tokyo Institute of Technology, 2011
(7) Tulane University, USA, May 2010
(8) College of William and Mary, 2009
(9) Tohoku University, Japan, April 2008
(10) Tohoku University, Japan, 2006
(11) Pomona, CA, USA, June 2004
(12) Kyoto University, Japan, July 2001
(13) University of Seoul, Korea, 2001
(14) Tokyo University, Japan, Jan. 2000
(15) Ryukoku University, Japan, Feb. 2000
(16) Center of Dynamical Systems & Nonlinear Studied, Georgia Tech., USA,
August 1997July 1998.
(17) Kyoto University, Japan, 1994
G.
Technical Reports

J.L. Chern & D. Luca,
Smoothness and Periodicity of Some Matrix Decompositions, Center of
Dynamical Systems & Nonlinear Studied, GA Tech, Report, CDSNS 99324, 1999.
H.
Funded Research Projects

Singular Points Set Effects in Elliptic
Equations with Sobolev Exponent and Parabolic Evolutions Models (3 Years,
1/3, 2/3, 3/3), 2018/082021/07.

On the Topics of MaxwellChernSimons’s
Models and The product Abelian Higgs model in a gauge field theory (3 years,
1/3, 2/3, 3/3), 2015/082018/07.

On the Nonlinear Analysis of
ChernSimonsHiggs Models and Related Elliptic Systems (3 years, 1/3, 2/3,
3/3), 2012/082015/07

On the minimizers of CaffarelliKohnNirenberg
inequalities with the singularity on the boundary (2 years, 1/2, 2/2),
2010/082012/07

On the Topological and
NonTopological MultiVortex Solutions to the SelfDual ChernSimonsHiggs
System, 2009

有關和米頓橢圓偏微分系統其解的唯一性與解結構及相關主題之探討,
2008

有關自我雙重ChernSimonsHiggs
偏微分方程系統其多漩渦解結構及相關主題之研究(2
years, 1/2, 2/2), 2006/082008/07

952115M008***MY2 (2 years, 1/2, 2/2), 942115M008***,
932115M008***, 922115M008***, 912115M008***,
902115M008***, 892115M008***
I.
指導碩博士畢業學生
(a)
畢業博士生:陳志有博士受聘於國立彰化師範大學專任助理教授、唐永立博士受聘於逢甲大學專任助理教授、楊世光博士受聘於科技部助理研究學者(3
Years)、吳彥霖博士受聘於『財團法人保險事業發展中心專員』、陳志和博士受聘於復旦高中。
(b)
畢業碩士生:王統新受聘於台北市立建國中學專任教師、連瑜君受聘高雄女中專任教師、鍾逸偉受聘於基隆女中專任教師、黃淑珠受聘陸軍專科學校講師等等。
