DCDS A, Special Issue on Variational Problems and Applications, Volume: 19, Number: 2, October 2007, edited by Chjan C. Lim, Mitsuharu Otani, Junping Shi

DCDS A, Special Issue for Peter Bates’ 60th birthday, Volume: 24, Number: 3, July 2009, edited by Jibin Li, Kening Lu, Junping Shi and Chongchun Zeng

Applicable Analysis, Special issue on Analysis and Applications of PDE in Biomathematics, Volume 89, Number 7, July 2010, edited by Junping Shi, Xingfu Zou

Published articles (in English)

2017

- Yan, Xiangping; Shi, Junping, Stability Switches in a
Logistic Population Model with Mixed Instantaneous and
Delayed Density Dependence.
*J. Dyn. Diff. Equat.*29 (2017), no. 1, 113--130.

- Cui, Renhao; Li, Haomiao; Mei, Linfeng; Shi, Junping, Effect of
harvesting quota and protection zone in a reaction-diffusion
model arising from fishery management.
*Disc. Cont. Dyna. Syst. B.*22 (2017), no. 3, 791--807*.* - Wu, Sainan; Shi, Junping; Wu, Boying, Global existence of solutions to a quasilinear attraction-repulsion chemotaxis model with growth. Comm. Pure Appl. Anal. 16 (2017), no. 3, 1037-1058.
- Ding, Deqiong; Shi, Junping; Wang, Yan, Bistability in a
model of grassland and forest transition.
*J. Math. Anal. Appl.*451 (2017), no.2, 1165-1178.

- Jiang, Fangfang; Shi, Junping; Wang, Qing-Guo; Sun, Jitao, On the existence and uniqueness of limit cycle for a Lienard system with a discontinuity line. Comm. Pure Appl. Anal. 15 (2016), no. 6, 2509 -- 2526.
- Shi, Junping; Shivaji, Ratnasinham, Uniqueness
of positive solutions to cooperative Hamiltonian elliptic
systems.
*Electron. J. Differ. Equ. Conf.*23 (2016), pp. 155--173.

- Wu, Sainan, Shi, Junping, Wu, Boying, Global existence of
solutions to a diffusive predator-prey model with prey-taxis.
*J. Differential Equations.*260 (2016), no. 7, 5847--5874.

- Wang, Jinfeng; Wei, Junjie; Shi, Junping, Global bifurcation
analysis and pattern formation in homogeneous diffusive
predator–prey systems.
*J. Differential Equations.*260 (2016), no. 4, 3495--3523. - An, Yulian; Kim, Chan-Gyun; Shi, Junping, Exact multiplicity of
positive solutions for a p-Laplacian equation with positive
convex nonlinearity.
*J. Differential Equations.*260 (2016), no. 3, 2091--2118.

- Wang, Jun; Shi, Junping, Standing waves of a weakly
coupled Schrodinger system with distinct potential functions.
*J. Differential Equations.*260 (2016), no. 2, 1830--1864.

2015

- Kim, Chan-Gyun; Liang, Zhanping; Shi, Junping, Existence of positive
solutions to a Laplace equation with nonlinear boundary
condition.
*Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP)*66 (2015), no. 6, 3061-3083. - Zhao, Leiga; Zhao, Fukun; Shi, Junping, Higher
Dimensional Solitary Waves Generated by Second-Harmonic
Generation in Quadratic Media.
*Calc**. Variations and Part. Differential Equations.*54 (2015), no. 3, 2657--2691. - Tian, Jianjun Paul; Shi, Junping; Cui, Jingan, A
mathematical model for high pathogenicity avian influenza
viruses emerging from outbreaks with low pathogenicity avian
influenza viruses.
*Dyna. Cont. Disc. and Impu. Syst.**Series B: Applications & Algorithms.*22 (2015), no. 5, 359--379.

- Zhou, Jun; Shi, Junping, Pattern formation in a
general glycolysis reaction-diffusion system. IMA Journal of Applied
Mathematics. 80 (2015), no. 6, 1703--1738.

- Wang, Feng-Bin; Shi, Junping; Zou, Xingfu, Dynamics of a host-pathogen system on a bounded spatial domain. Comm. Pure Appl. Anal.14 (2015), no. 6, 2535--2560.
- Wang, Chuncheng; Liu, Rongsong; Shi, Junping; Carlos
Martinez del Rio, Traveling
waves of a mutualistic model of mistletoes and birds.
*Disc. Cont. Dyna. Syst. A.*35 (2015), no. 4, 1743--1765. - Jiang, Fangfang; Shi, Junping; Sun, Jitao, On the number of
limit cycles for discontinuous generalized Lienard
polynomial differential systems.
*Internat. J. Bifur. Chaos Appl. Sci. Engrg.*25 (2015), no. 10, 1550131 (10 pages).

2014

- Li, Fuyi, Li, Yuhua; Shi, Junping, Existence of positive
solutions to Schrodinger-Poisson type systems with critical
exponent.
*Commun. Contemp. Math.*16 (2014), no. 6, 1450036 (28 pages). - Hsu, Sze-Bi; Shi, Junping; Wang, Feng-Bin, Further studies of a
reaction-diffusion system for an unstirred chemostat with
internal storage.
*Disc. Cont. Dyna. Syst. B.*19 (2014), no. 10, 3169--3189.

- Wang, Jinfeng; Zhang Xin; Shi, Junping; Wang, Yuwen, Properties of
limit cycle in a class of general predator-prey systems.
*Appl. Math. Comput.*242 (2014), no. 1, 397--406.

- Liu, Ping; Shi, Junping; Wang, Rui; Wang, Yuwen, Bifurcation
Analysis of a Generic Reaction-Diffusion Turing model.
*Internat. J. Bifur. Chaos Appl. Sci. Engrg.*24 (2014), no. 4, 1450042 (12 pages). - Chen, Shanshan; Shi, Junping; Wei, Junjie, Bifurcation
analysis of the Gierer–Meinhardt system with a saturation
in the activator production.
*Appl. Anal.*93 (2014), no. 6, 111--1134. - Zhou, Jun; Kim, Chan-Gyun; Shi, Junping, Positive
steady state solutions of a diffusive Leslie-Gower
predator-prey model with Holling type II functional
response and cross-diffusion.
*Discrete Contin. Dyn. Syst.*34 (2014), no. 9, 3875–3899. - Wang, Chuncheng; Liu, Rongsong; Shi, Junping; del Rio,
Carlos Martinez, Spatiotemporal
mutualistic model of mistletoes and birds.
*J. Math. Biol.*68 (2014), no. 6, 1479--1520. - Zhou, Jun; Shi, Junping, Qualitative analysis of
an autocatalytic chemical reaction model with decay.
*Proc. Roy. Soc. Edinburgh Sect. A*144 (2014), no. 2, 427--446. - Liang, Zhanping; Li, Fuyi; Shi, Junping, Positive solutions to
Kirchhoff type equations with
nonlinearity having
prescribed asymptotic behavior.
*Annales de l'Institut Henri Poincare / Analyse non lineaire*31 (2014) no. 1, 155--167.

- Li, Fuyi; Li, Yuhua; Shi, Junping, Existence of positive
solutions to Kirchhoff type problems with zero mass.
*J. Math. Anal. Appl.*410 (2014) no. 1, 361--374.

- Cui, Renhao; Shi, Junping; Wu, Boying, Strong Allee effect in a
diffusive predator-prey system with a protection zone.
*J. Differential Equations.*256 (2014), no. 1, 108--129.

2013

- Liu, Ping; Shi, Junping; Wang, Zhian, Pattern formation of
the attraction-repulsion Keller-Segel system.
*Disc. Cont. Dyna. Syst. B.*18 (2013), No. 10, 2597--2625.

- Jin, Jiayin; Shi, Junping; Wei, Junjie; Yi, Fengqi, Bifurcations of
Patterned Solutions in Diffusive Lengyel-Epstein System of
CIMA Chemical Reaction.
Rocky Moun. J. Math. 43 (2013), No. 5, 1637--1674.

- Cui, Renhao; Li, Ping; Shi, Junping; Wang,
Yuwen, Existence,
uniqueness and stability of positive solutions for a class
of semilinear elliptic systems.
*Topol. Methods Nonlinear Anal.*42 (2013), No. 1, 91--104.

- Kim, Chan-Gyun; Shi, Junping, Existence and
Multiplicity of Positive Solutions to a Quasilinear Elliptic
Equation with Strong Allee Effect Growth Rate.
*Results Math.*64 (2013)*,*No.1-2, 165--173. - Liu, Ping; Shi, Junping; Wang, Yuwen; Feng, Xiuhong, Bifurcation
Analysis of Reaction-Diffusion Schnakenberg Model.
*Jour. Math. Chem.*51 (2013), no. 8, 2001--2019. - Sun, Linan; Shi, Junping; Wang, Yuwen, Existence
and Uniqueness of Steady State Solutions of a Nonlocal
Diffusive Logistic Equation.
*Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP)*, 64 (2013), no. 4, 1267--1278. (Erratum, 64 (2013), no. 4, 1279--1281). - Wang, Jinfeng; Shi, Junping; Wei, Junjie, Nonexistence
of periodic orbits for predator-prey system with strong
Allee effect in prey populations,
*Electron. J. Diff. Equ.*, 2013 (2013), no. 164, 1--14. - Zhou, Jun; Shi, Junping, Uniqueness
of the positive solution for a non-cooperative model of
nuclear reactors.
*Appl. Math. Lett.*26 (2013), no. 10, 1005--1007.

- Kim, Chan-Gyun; Shi, Junping, Multiple
positive solutions with p-Laplacian equation with weak Allee
effect growth rate,
*Diff. Int. Eqs*, 26 (2013), 707--720. - Zhou, Jun; Shi, Junping, The
existence, bifurcation and stability of positive stationary
solutions of a diffusive Leslie-Gower predator-prey model
with Holling-type II functional responses.
*J. Math. Anal. Appl.*405 (2013), no. 2, 618--630*.*

- Junping Shi, Absolute
Stability and Conditional Stability in General Delayed
Differential Equations. In
*Advances in Interdisciplinary Mathematical Research,*Springer Proceedings in Mathematics & Statistics, Volume 37, 2013, 117--131.

- Liu, Ping; Shi, Junping; Wang, Yuwen, A
double saddle-node bifurcation theorem. Comm. Pure Appl. Anal. 12
(2013), no.
6, 2923--2933.

- Liu, Ping; Shi, Junping; Wang, Yuwen, Bifurcation
from a Degenerate Simple Eigenvalue.
*J. Funct. Anal.*264 (2013), no. 10, 2269--2299. - Li, Xin; Jiang, Weihua; Shi, Junping, Hopf
bifurcation and Turing instability in the reaction–diffusion
Holling–Tanner predator–prey model. IMA Journal of Applied
Mathematics. 78 (2013), no. 2, 287--306.

- Chen, Shanshan; Shi, Junping, Global
Attractivity of Equilibrium in Gierer-Meinhardt System with
Activator Production Saturation and Gene Expression Time
Delays.
*Nonlinear Anal. Real World Appl.*14 (2013), no. 4, 1871--1886.

- Chen, Shanshan; Shi, Junping; Wei, Junjie, Time
delay induced instabilities and Hopf bifurcations in general
reaction-diffusion systems.
*Journal of Nonlinear Science*. 23 (2013), no. 1, 1--38.

- Chen, Shanshan; Shi, Junping; Wei, Junjie, The
effect of delay on a diffusive predator-prey system with
Holling type-II predator functional response. Comm. Pure Appl. Anal.
12 (2013), no. 1, 481--501.

2012

- Su, Ying; Wei, Junjie; Shi, Junping, Hopf
bifurcation in a diffusive Logistic equation with mixed
delayed and instantaneous density dependence.
*J. Dyn. Diff. Equat.*24 (2012), no. 4, 897--925.

- Essman, Michael; Shi, Junping, Bifurcation
diagrams of coupled Schrödinger equations.
*Appl. Math. Comput.*219 (2012), no. 8, 3646--3654. - Chen, Shanshan; Shi, Junping, Stability
and Hopf bifurcation in a diffusive logistic population
model with nonlocal delay effect.
*J. Differential Equations*253 (2012), no. 12, 3440--3470. - Kim, Chan-Gyun; Shi, Junping, Global
continuum and multiple positive solutions to a
p -Laplacian boundary-value problem.*Electron. J. Differential Equations***2012,** - Li, Yuhua; Li, Fuyi; Shi, Junping, Existence of
a positive solution to Kirchhoff type problems without
compactness conditions.
*J. Differential Equations*253 (2012), no. 7, 2285--2294. - Chen, Shanshan; Shi, Junping; Wei, Junjie, Global
stability and Hopf bifurcation in a delayed diffusive
Leslie-Gower predator-prey system.
*Internat. J. Bifur. Chaos Appl. Sci. Engrg.*22 (2012), no. 3, 1250061, 11 pp. - Zhao, Yuhua; Wang, Yuwen; Shi, Junping, Steady
states and dynamics of an autocatalytic chemical reaction
model with decay.
*J. Differential Equations*253 (2012), no. 2, 533–552. - Chen, Shanshan; Shi, Junping, Global
stability in a diffusive Holling-Tanner predator-prey model.
*Appl. Math. Lett.,*25, (2012), no. 3, 614--618.

- Jordan-Cooley, William C.; Lipcius,
Romuald N.; Shaw, Leah B. Shaw; Shen, Jian; Shi, Junping, Bistability
in a differential equation model of oyster reef height and
sediment accumulation.
*J. Theor. Biol.*289, (2011), no.1, 1–11.

- Chen, Shanshan; Shi, Junping; Wei, Junjie, A
Note on Hopf bifurcations in a delayed diffusive
Lotka-Volterra predator-prey system. Comput. Math. Appl. 62,
(2011), no.5, 2240–2245.

- Sun, Ruoyan; Shi, Junping Shi, Global
stability of multigroup epidemic model with group mixing and
nonlinear incidence rates. Appl. Math. Comput. 218, (2011), no. 2, 280–286.

- Wang, Jinfeng; Shi, Junping; Wei, Junjie, Dynamics and pattern formation in a diffusive predator–prey system with strong Allee effect in prey. J. Differential Equations 251, (2011), no. 4-5, 1276–1304.
- Cui, Renhao; Shi, Junping; Wang, Yuwen, Existence and Uniqueness of positive solutions for a class of semilinear elliptic systems. Acta Math. Sinica, 27, (2011), 6, 1079–1090.
- Li, Chunxiang; Shi, Junping; Sun, Jitao, Stability
of impulsive stochastic differential delay systems and its
application to impulsive stochastic neural networks.
*Nonlinear Anal.*74 (2011), no. 10, 3099–3111. - Shi, Junping; Xie, Zhifu; Little, Kristina, Cross-diffusion
induced instability and stability in reaction-diffusion
systems, J. Appl.
Anal. Comput. 1 (2011), no. 1, 95–119.

- Chern, Jann-Long; Tang, Yong-Li; Lin, Chang-Shou; Shi,
Junping, Existence,
uniqueness and stability of positive solutions to
sublinear elliptic systems.
*Proc. Roy. Soc. Edinburgh Sect. A*141 (2011), no. 1, 45–64, - Wang, Jinfeng; Shi, Junping; Wei, Junjie, Predator-prey
system
with strong Allee effect in prey.
*J. Math. Biol.*62 (2011), no. 3, 291–331.

2010

- Chen, Zhi-You; Chern, Jann-Long; Shi, Junping; Tang,
Yong-Li, On
the uniqueness and structure of solutions to a coupled
elliptic system.
*J. Differential Equations*249 (2010), no. 12, 3419–3442. - Liu, Ping; Shi, Junping; Wang, Yuwen, Periodic
solutions of a logistic type population model with
harvesting.
*J. Math. Anal. Appl.*369 (2010), no. 2, 730–735. - Shen, Lijuan; Shi, Junping; Sun, Jitao, Complete controllability of impulsive stochastic integro-differential systems. Automatica, 46, (2010), no. 6, 1068–1073.
- Su, Ying; Wei, Junjie; Shi, Junping, Bifurcation
analysis in a delayed diffusive Nicholson's blowflies
equation.
*Nonlinear Anal. Real World Appl.*11 (2010), no. 3, 1692–1703. - Wang, Yanan; Wang, Yuwen; Shi, Junping, Exact
multiplicity of solutions to a diffusive logistic equation
with harvesting.
*Appl. Math. Comput.*216 (2010), no. 5, 1531–1537. - Shi, Junping; Xie, Zhifu, Classification
of four-body central configurations with three equal
masses.
*J. Math. Anal. Appl.*363 (2010), no. 2, 512–524.

2009

- Liu, Guan-qi; Wang, Yu-wen; Shi, Jun-ping, Existence
and nonexistence of positive solutions of semilinear
elliptic equation with inhomogeneous strong Allee effect.
*Appl. Math. Mech. (English Ed.)*30 (2009), no. 11, 1461–1468. - Shi, Junping, Bifurcation
in infinite dimensional spaces and applications in
spatiotemporal biological and chemical models.
*Front. Math. China*4 (2009), no. 3, 407–424.

- Jiang, Jifa; Shi, Junping, Bistability
dynamics in some structured ecological models. In
*Spatial ecology*. Edited by Robert Stephen Cantrell; Chris Cosner; Shigui Ruan, Chapman & Hall/CRC (2009). - Peng, Rui; Shi, Junping; Wang, Mingxin, Erratum: Stationary pattern of a
ratio-dependent food chain model with diffusion [MR2341760].
*SIAM J. Appl. Math.*70 (2009), no. 1, 368. - Lim, Chjan C.; Shi, Junping, The
role of higher vorticity moments in a variational
formulation of barotropic flows on a rotating sphere.
*Discrete Contin. Dyn. Syst. Ser. B*11 (2009), no. 3, 717–740. - Su, Ying; Wei, Junjie; Shi, Junping, Hopf
bifurcations in a reaction-diffusion population model with
delay effect.
*J. Differential Equations*247 (2009), no. 4, 1156–1184. - Peng, Rui; Shi, Junping, Non-existence
of non-constant positive steady states of two Holling
type-II predator-prey systems: strong interaction case.
*J. Differential Equations*247 (2009), no. 3, 866–886. - Hsu, Sze-Bi; Shi, Junping, Relaxation
oscillation profile of limit cycle in predator-prey system.
*Discrete Contin. Dyn. Syst. Ser. B*11 (2009), no. 4, 893–911. - Shi, Junping; Wang, Xuefeng, On
global bifurcation for quasilinear elliptic systems on
bounded domains.
*J. Differential Equations*246 (2009), no. 7, 2788–2812. - Yi, Fengqi; Wei, Junjie; Shi, Junping, Bifurcation
and spatiotemporal patterns in a homogeneous diffusive
predator-prey system.
*J. Differential Equations*246 (2009), no. 5, 1944–1977. - Yi, Fengqi; Wei, Junjie; Shi, Junping, Global
asymptotical behavior of the Lengyel-Epstein
reaction-diffusion system.
*Appl. Math. Lett.*22 (2009), no. 1, 52–55.

2008

- Duo, Jia; Shi, Junping; Wang, Yuwen, Structure
of the solution set for a class of semilinear elliptic
equations with asymptotic linear nonlinearity.
*Nonlinear Anal.*69 (2008), no. 8, 2369–2378. - Liu, Ping; Shi, JunPing; Wang, YuWen, Exact
multiplicity of solutions to perturbed logistic type
equations on a symmetric domain.
*Sci. China Ser. A*51 (2008), no. 10, 1753–1762. - Kurata, Kazuhiro; Shi, Junping, Optimal
spatial harvesting strategy and symmetry-breaking.
*Appl. Math. Optim.*58 (2008), no. 1, 89–110. - Peng, Rui; Shi, Junping; Wang, Mingxin, On
stationary patterns of a reaction-diffusion model with
autocatalysis and saturation law.
*Nonlinearity*21 (2008), no. 7, 1471–1488. - Yi, Fengqi; Wei, Junjie; Shi, Junping, Diffusion-driven
instability and bifurcation in the Lengyel-Epstein system.
*Nonlinear Anal. Real World Appl.*9 (2008), no. 3, 1038–1051.

- Jiang, Jifa; Shi, Junping, Dynamics
of a reaction-diffusion system of autocatalytic chemical
reaction.
*Discrete Contin. Dyn. Syst.*21 (2008), no. 1, 245–258.

2007

- Shi, Junping; Wang, Shin-Hwa, Exact
multiplicity of boundary blow-up solutions for a bistable
problem.
*Comput. Math. Appl.*54 (2007), no. 9-10, 1285–1292. - Liu, Ping; Shi, Junping; Wang, Yuwen, Imperfect
transcritical and pitchfork bifurcations.
*J. Funct. Anal.*251 (2007), no. 2, 573–600. - Peng, Rui; Shi, Junping; Wang, Mingxin, Stationary
pattern of a ratio-dependent food chain model with
diffusion.
*SIAM J. Appl. Math.*67 (2007), no. 5, 1479–1503. - Cui, Renhao; Wang, Yuwen; Shi, Junping, Uniqueness
of the positive solution for a class of semilinear
elliptic systems.
*Nonlinear Anal.*67 (2007), no. 6, 1710–1714. - Du, Yihong; Shi, Junping, Allee
effect and bistability in a spatially heterogeneous
predator-prey model.
*Trans. Amer. Math. Soc.*359 (2007), no. 9, 4557–4593. - Zhao, Yuhua; Wang, Yuwen; Shi, Junping, Exact
multiplicity of solutions and S-shaped bifurcation curve
for a class of semilinear elliptic equations.
*J. Math. Anal. Appl.*331 (2007), no. 1, 263–278.

2006

- Shi, Junping; Wang, Xuefeng, Hair-triggered
instability of radial steady states, spread and extinction
in semilinear heat equations.
*J. Differential Equations*231 (2006), no. 1, 235–251. - Dancer, E. Norman; Shi, Junping, Uniqueness
and nonexistence of positive solutions to semipositone
problems.
*Bull. London Math. Soc.*38 (2006), no. 6, 1033–1044. - Du, Yihong; Shi, Junping, A
diffusive predator-prey model with a protection zone.
*J. Differential Equations*229 (2006), no. 1, 63–91. - Shi, Junping; Shivaji, Ratnasingham, Persistence
in reaction diffusion models with weak Allee effect.
*J. Math. Biol.*52 (2006), no. 6, 807–829. - Lee, Young He; Sherbakov, Lena; Taber, Jackie; Shi,
Junping, Bifurcation
diagrams of population models with nonlinear diffusion.
*J. Comput. Appl. Math.*194 (2006), no. 2, 357–367. - Du, Yihong; Shi, Junping, Some
recent results on diffusive predator-prey models in
spatially heterogeneous environment.
*Nonlinear dynamics and evolution equations,*95–135, Fields Inst. Commun., 48,*Amer. Math. Soc., Providence, RI,*2006.

2005

- Shi, Junping; Shivaji, Ratnasingham, Semilinear
elliptic equations with generalized cubic nonlinearities.
*Discrete Contin. Dyn. Syst.***2005,**suppl., 798–805. - Korman, Philip; Shi, Junping, On
Lane-Emden type systems.
*Discrete Contin. Dyn. Syst.***2005,**suppl., 510–517. - Shi, Junping, A
new proof of anti-maximum principle via a bifurcation
approach.
*Results Math.*48 (2005), no. 1-2, 162–167. - Shi, Junping; Yao, Miaoxin, Positive
solutions for elliptic equations with singular
nonlinearity.
*Electron. J. Differential Equations***2005,**no. 04, 11 pp. (electronic).

2004

- Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham, Logistic
equation wtih the p
p -Laplacian and constant yield harvesting.*Abstr. Appl. Anal.***2004,**no. 9, 723–727. - Shi, Junping, A
radially symmetric anti-maximum principle and applications
to fishery management models.
*Electron. J. Differential Equations***2004,**No. 27, 13 pp. (electronic).

2003

- Shi, Junping; Shivaji, Ratnasingham, Global
bifurcations of concave semipositone problems.
*Evolution equations,*385–398, Lecture Notes in Pure and Appl. Math., 234,*Dekker, New York,*2003. - Shi, Junping, Multi-parameter
bifurcation and applications.
*Topological methods, variational methods and their applications (Taiyuan, 2002),*211–221,*World Sci. Publ., River Edge, NJ,*2003. - Shi, Junping, Asymptotic Spatial Patterns and Entire Solutions of Semilinear Elliptic Equations. Proceedings of the Ryukoku Workshop 2003, 2003.
- Shi, Junping, Exact
multiplicity of positive solutions to a superlinear
problem.
*Proceedings of the Fifth Mississippi State Conference on Differential Equations and Computational Simulations (Mississippi State, MS, 2001),*257–265 (electronic), Electron. J. Differ. Equ. Conf., 10,*Southwest Texas State Univ., San Marcos, TX,*2003.

2002

- Bates, Peter W.; Shi, Junping, Existence
and instability of spike layer solutions to singular
perturbation problems.
*J. Funct. Anal.*196 (2002), no. 2, 211–264. - Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham, Diffusive
logistic equation with constant yield harvesting. I.
Steady states.
*Trans. Amer. Math. Soc.*354 (2002), no. 9, 3601–3619. - Shi, Junping, Exact
multiplicity of solutions to superlinear and sublinear
problems.
*Nonlinear Anal.*50 (2002), no. 5, Ser. A: Theory Methods, 665–687. - Shi, Junping, Semilinear
Neumann boundary value problems on a rectangle.
*Trans. Amer. Math. Soc.*354 (2002), no. 8, 3117–3154. - Shi, Junping, Saddle
solutions of the balanced bistable diffusion equation.
*Comm. Pure Appl. Math.*55 (2002), no. 7, 815–830.

2001

- Korman, Philip; Shi, Junping, New
exact multiplicity results with an application to a
population model.
*Proc. Roy. Soc. Edinburgh Sect. A*131 (2001), no. 5, 1167–1182. - Shi, Junping; Shivaji, Ratnasingham, Exact
multiplicity of solutions for classes of semipositone
problems with concave-convex nonlinearity.
*Discrete Contin. Dynam. Systems*7 (2001), no. 3, 559–571.

2000

- Korman, Philip; Shi, Junping, Instability
and exact multiplicity of solutions of semilinear
equations.
*Proceedings of the Conference on Nonlinear Differential Equations (Coral Gables, FL, 1999),*311–322 (electronic), Electron. J. Differ. Equ. Conf., 5,*Southwest Texas State Univ., San Marcos, TX,*2000.

- Shi, Junping, Blow
up points of solution curves for a semilinear problem.
*Topol. Methods Nonlinear Anal.*15 (2000), no. 2, 251–266.

1999

- Shi, Junping, Persistence
and bifurcation of degenerate solutions.
*J. Funct. Anal.*169 (1999), no. 2, 494–531. - Ouyang, Tiancheng; Shi, Junping, Exact
multiplicity of positive solutions for a class of
semilinear problem. II.
*J. Differential Equations*158 (1999), no. 1, 94–151. - Shi, Junping; Wang, Junping, Morse
indices and exact multiplicity of solutions to semilinear
elliptic problems.
*Proc. Amer. Math. Soc.*127 (1999), no. 12, 3685–3695.

- Bates, Peter W.; Dancer, E. Norman; Shi, Junping, Multi-spike
stationary solutions of the Cahn-Hilliard equation in
higher-dimension and instability.
*Adv. Differential Equations*4 (1999), no. 1, 1–69.

1998

- Ouyang, Tiancheng; Shi, Junping, A
bifurcation approach to the exact multiplicity of positive
solutions of
Δu+λf(u)=0 on the unit ball. Dynamical systems and differential equations, Vol. II (Springfield, MO, 1996).*Discrete Contin. Dynam. Systems*1998**,**Added Volume II, 162–173. - Shi, Junping; Yao, Miaoxin, On
a singular nonlinear semilinear elliptic problem.
*Proc. Roy. Soc. Edinburgh Sect. A*128 (1998), no. 6, 1389–1401. - Ouyang, Tiancheng; Shi, Junping, Exact
multiplicity of positive solutions for a class of
semilinear problems.
*J. Differential Equations*146 (1998), no. 1, 121–156. - Ouyang, Tiancheng; Shi, Junping, Exact
multiplicity
of solutions and global bifurcation of
Δu+λf(u)=0 .*Differential equations and applications (Hangzhou, 1996),*356–363,*Int. Press, Cambridge, MA,*1998.

Articles to appear:

- Liang, Zhanping; Li, Fuyi; Shi, Junping, Positive
solutions of Kirchhoff type nonlocal elliptic equation: a
bifurcation approach. To appear in
*Proc. Roy. Soc. Edinburgh Sect. A.* - An, Yulian; Chern, Jann-Long; Shi, Junping, Uniqueness of
positive solution to a coupled cooperative variational
elliptic system on an interval. To appear in
*Trans. Amer. Math. Soc.* - Wang, Xiaoli; Shi, Junping; Zhang, Guohong, Interaction
of water and plants: rich dynamics in a simple model. To
appear in
*Disc. Cont. Dyna. Syst. B.*

Articles submitted:

- Wang, Jun; Shi, Junping, Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction.
- Li, Yuhua; Li, Fuyi; Shi, Junping, Existence and multiplicity of positive solutions to Schrodinger-Poisson type systems with critical nonlocal term.
- Chen, Mayee, Shi, Junping, Effect of rotational grazing on plant and animal production.
- Zuo, Wenjie; Shi, Junping, Traveling wave solutions of a diffusive ratio-dependent Holling-Tanner system with distributed delay.
- Li, Yuhua; Li, Fuyi; Shi, Junping, Ground states of nonlinear Schodinger equation on star metric graphs.
- Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan, A mathematical model of algae growth in a pelagic-benthic coupled shallow aquatic ecosystem.
- Liu, Ping; Shi, Junping, Bifurcation of Positive Solutions to Scalar Reaction-Diffusion Equations with Nonlinear Boundary Condition.

Published Articles (in Chinese)

Citations

2013

Web
of Science citation: citation (775), h-index: (17) (May
2013) MathSciNet
citation: citation (788), h-index (15) (May 2013)

Google
Scholar citation: citation (1651), h-index: (23) (May
2013) Microsoft
Academic Page citation (770) (May 2013)

2012

Web
of Science citation: citation (572), h-index: (13) (April
2012) MathSciNet
citation: citation (674), h-index (13) (April 2012)

Google Scholar citation: citation (1250), h-index: (19) (April 2012) Microsoft Academic Page citation (742), h-index (14) (April 2012)