Papers

2017

CPDE 2017-01 Zongming Guo, Jun-Cheng Wei, Zhou, Feng "Singular radial entire solutions and weak solutions with prescribed singular set for a biharmonic equation". J. Differential Equations  263 (2017), no. 2, 1188–1224.

CPDE 2017-02 Huyuan Chen, Feng Zhou "Isolated singularities for elliptic equations with inverse square potential and source nonlinearity". Preprint 

CPDE 2017-03 Huyuan Chen, Alexander Quaas, Feng Zhou " On nonhomogeneous elliptic equations with the Hardy-Leray potentials". Preprint 

CPDE 2017-04 Huicong Li, Rui Peng, Feng-Bin Wang "Varying total population enhances disease persistence: Qualitative analysis on a diffusive SIS epidemic model". J. Differential Equations 262 (2017), 885-913

CPDE 2017-05 Huicong Li, Jingyu Li "Asymptotic behavior of Dirichlet eigenvalues on a body coated by functionally graded material". Commun. Pure Appl. Anal. 16 (2017), 1493-1516

CPDE 2017-06 Bo Li, Huicong Li, Yachun Tong "Analysis on a diffusive SIS epidemic model with logistic source". Zeitschrift für angewandte Mathematik und Physik 68 (2017)

CPDE 2017-07 Huicong Li, Rui Peng, Tian Xiang "Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion". Submitted 

CPDE 2017-08 Li, Huicong, Wang, Xuefeng "Using effective boundary conditions to model fast diffusion on a road in a large field". Nonlinearity 30 (2017), 3853-3894

2016

CPDE 2016-01 Shuangjie Peng, Huirong Pi "Spike vector solutions for some coupled nonlinear Schrödinger equations". Discrete Contin. Dyn. Syst.  36(2016),2205–2227

CPDE 2016-02 Xia Huang, Dong Ye "Existence of stable solutions to $(-\Delta)^m u=e^u$ in $\mathbb{R}^N$ with $m\geq 3$ and $N > 2m$". Accepted by J. Differential Equations 

CPDE 2016-03 Hu, Haifeng, Ming Mei , Zhang, Kaijun "Asymptotic stability and semi-classical limit for bipolar quantum hydrodynamic model". Communications in Mathematical Sciences Vol. 14, No. 8 (2016), pp. 2331-2371.

CPDE 2016-04 Huyuan Chen, Feng Zhou "Isolated singularities of positive solutions for Choquard equations in sublinear type case". Preprint 

CPDE 2016-05 Huicong Li "Effective boundary conditions of the heat equation on a body coated by functionally graded material.pdf". Discrete Contin. Dyn. Syst. 36 (2016), 1415-1430

CPDE 2016-06 Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani "Exact multiplicity of stationary limiting problems of a cell polarization model". DCDS-A Volume 36, number 10, October 2016, pp. 5627-5655

CPDE 2016-07 Huicong Li, Rui Peng, Feng-Bin Wang "Varying total population enhances disease persistence: Qualitative analysis on a diffusive SIS epidemic model". Accepted by J. Differential Equations 

CPDE 2016-08 Bai, Xueli, He, Xiaoqing, Li, Fang "An optimization problem and its application in population dynamics". Proc. Amer. Math. Soc.  Volume 144, Pages 2161–2170

CPDE 2016-09 Fang Li, Rui Peng, Xianfa Song "Global existence and finite time blow-up of solutions of a Gierer-Meinhardt system". Accepted by J. Differential Equations  

CPDE 2016-10 Xiaoqing He, Wei-Ming Ni "Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I ". Communications on Pure and Applied Mathematics  Vol. LXIX, Page 0981–1014

CPDE 2016-11 Don DeAngelis, Wei-Ming Ni , Bo Zhang "Dispersal and spatial heterogeneity: single species". J. Math. Biol. 72 (2016), 239 - 254 

CPDE 2016-12 Fang Li, K. Nakashima, Wei-Ming Ni  "Nonlocal effects in an integro-PDE model from population genetics". Euro. J. Appl. Math., to appear 

CPDE 2016-13 Don DeAngelis, Wei-Ming Ni , Bo Zhang "Effects of diffusion on total biomass in heterogeneous continuous and discrete-patch systems". Theoretical Ecology, to appear 

CPDE 2016-14 He, Xiaoqing, Ni, Wei-Ming "Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources, II". Calc. Var. Partial Differential Equations 55 (2016), no. 2, Art. 25, 20 pp 

CPDE 2016-15 Hu, Haifeng, Ming Mei , Zhang, Kaijun "Relaxation limit in bipolar semiconductor hydrodynamic model with non-constant doping profile". J. Math. Anal. Appl. 448 (2017), no. 2, 1175–1203

2015

CPDE 2015-01 Fang Li, Jerome Coville, Xuefeng Wang "On eigenvalue problems arising from nonlocal diffusion models". Accepted by Discrete Contin. Dyn. Syst. 

CPDE 2015-02 Yuan Lou, Wei-Ming Ni, Shoji Yotsutani "Pattern Formation in a Cross-Diffusion System". Discrete Contin. Dyn. Syst. Volume 35, Number 4, April 2015, 1589-1607

CPDE 2015-03 BoZhang, XinLiu, Don DeAngelis, Wei-Ming Ni, G.GeoffWang "Effects of dispersal on total biomass in a patchy, heterogeneous system: Analysis and experiment". Mathematical Biosciences 264(2015), 54–62

CPDE 2015-04 Don DeAngelis, Wei-Ming Ni , Bo Zhang "Dispersal and spatial heterogeneity: single species". Accepted by J. Math. Biol. 

CPDE 2015-05 Xiaoqing He, Wei-Ming Ni "Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I ". Accepted by Communications on Pure and Applied Mathematics 

CPDE 2015-06 Zongming Guo, Xia Huang, Feng Zhou "Radial symmetry of entire solutions of a bi-harmonic equation with exponential nonlinearity". J. Funct. Anal., 268(2015), no. 7, 1972-2004

CPDE 2015-07 Xia Huang, Dong Ye "Conformal metrics in $R^{2m}$ with constant $Q$-curvature and arbitrary volume". Calc. Var. Partial Differential Equations 54 (2015) ,3373-3384

CPDE 2015-08 Xuefeng Wang "带有薄层的区域上的扩散方程的实效边条件". Preprint 

CPDE 2015-09 Hu-Yuan Chen, Ying Wang, Feng Zhou "On semi-linear elliptic equation arising from Micro-Electromechanical Systems with contacting elastic membrane". Preprint 

CPDE 2015-10 Xueli Bai, Xiaoqing He, Fang Li "An optimization problem and its application in population dynamics". Accepted by Proc. Amer. Math. Soc.  

CPDE 2015-11 Shuangjie Peng, Huirong Pi "Boundary concentrating solutions for a Hénon-like equation". Proc. Roy. Soc. Edinburgh Sect. A. 145(2015), 175–201

CPDE 2015-12 Fang Li, Xiaoming Zheng "Comparison of several reaction and diffusion models of growth factors in angiogenesis". Accepted by Communications in Mathematical Sciences 

CPDE 2015-13 Xueli Bai, Fang Li "Global dynamics of a competition model with nonlocal dispersal II: The full system.". J. Differential Equations  258 (2015) 2655–2685

CPDE 2015-14 Fang Li, Lihu Xu "Finite time blowup of the stochastic shadow Gierer-Meinhardt System". Electron. Commun. Probab. 20 (2015), no. 65, 1–13.

2014

CPDE 2014-01 He, Xiaoqing, Ni, Wei-Ming "Global dynamics of the Lotka-Volterra competition-diffusion system: Diffusion and spatial heterogeneity, I". Preprint(2014) 

CPDE 2014-02 Li, Fang, Nakashima, Kimie, Ni, Wei-Ming "Nonlocal effects in an integro-PDE model from population genetics". Preprint(2014) 

CPDE 2014-03 Guo, Zongming, Huang, Xia, Zhou, Feng "Radial symmetry of entire solutions of a bi-harmonic equation with exponential nonlinearity". Submitted  

CPDE 2014-04 Bai, Xueli, Li, Fang "Optimization of species survival for logistic models with non-local dispersal". Accepted by Nonlinear Analysis-RWA 

CPDE 2014-05 Guo Zongming, Zhou Feng "Sub-harmonicity, monotonicity formula and finite Morse index solutions of an elliptic equation with negative exponent". accepted by SCIENCE CHINA Mathematics 

CPDE 2014-06 Fang Li, Yuan Lou, Yang Wang "Global dynamics of a competition model with non-local dispersal I: the shadow system.". J. Math. Anal. Appl. 412 (2014), no. 1, 485–497.

CPDE 2014-07 Yong-Jung Kim, Ohsang Kwon, Fang Li "Global asymptotic stability and the ideal free distribution in a starvation driven diffusion.". J. Math. Biol. 68 (2014), no. 6, 1341–1370.

CPDE 2014-08 Fang Li, Nung Kwan Yip "Finite time blow-up of parabolic systems with nonlocal terms.". Indiana Univ. Math. J. 63 (2014), no. 3, 783–829.

CPDE 2014-09 Xueli Bai, Xiaoqing He, Fang Li "An optimization problem and its application in population dynamics". Preprint 

CPDE 2014-10 Fang Li, Lihu Xu "Finite time blowup of the stochastic shadow Gierer-Meinhardt System". Submitted  

CPDE 2014-11 Huabing Feng, Huicong Li, Xuefeng Wang "Effects of a road in a nature reserve on logistic equation". Preprint(2014) 

2013

CPDE 2013-01 Zongming Guo, Dong Ye, Feng Zhou "Global existence and stability of solutions of a semilinear heat equation with exponential reaction term". Preprint(2013)  

CPDE 2013-02 Bai, Xueli "Finite time blow up for a reaction-diffusion system in bounded domain". ZAMP 

CPDE 2013-03 Dapeng Du, Jingyu Li, Kaijun Zhang  "Blow-up of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids". Comm. Math. Sci. 11(2013), 541-546.

CPDE 2013-04 La-Su Mai, Jingyu Li, Kaijun Zhang  "On the Steady State Relativistic Euler-Poisson Equations". Acta Appl. Math. 125(2013), 135-157.

CPDE 2013-05 Hai-Yang Jin , Jingyu Li, Zhi-An Wang  "Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity". J. Differential Equations 255(2013), 193-219.

CPDE 2013-06 Chuangchuang Liang , Jingyu Li, Kaijun Zhang  "On a hyperbolic equation arising in electrostatic MEMS". Accepted by J. Differential Equations 

CPDE 2013-07 Wang, Lina, Bai, Xueli, Cao, Yang "Exponential Stability of the Traveling Fronts for a Pseudo-Parabolic Fisher-KPP Equation". DCDS-B 

CPDE 2013-08 Lou, Yuan, Nagylaki, Thomas , Ni, Wei-Ming "An introduction to migration-selection PDE models". Discrete Contin. Dyn. Syst. 33 (2013), 4349 - 4373

CPDE 2013-09 Kim, Yong Jung, Ni, Wei-Ming, Taniguchi, Masaharu "Non-existence of localized traveling waves with non-zero speed in single reaction-diffusion equations". Discrete Contin. Dyn. Syst. 33 (2013),  3707 - 3718

CPDE 2013-10 Ni, Wei-Ming, Taniguchi, Masaharu "Traveling fronts of pyramidal shapes in competition diffusion systems". Network and Heterogeneous Media 8 (2013) 379 - 395

CPDE 2013-11 Bai, Xueli, Zheng, Sining, Wang, Wei "Critical exponent for parabolic system with time-weighted sources in bounded domain". J. Functional Analysis 

CPDE 2013-12 Cao, Xinru, Bai, Xueli, Zheng, Sining "Critical Fujita curve for a semilinear parabolic system with time-wieghted souce". Applicable Analysis  

CPDE 2013-13 Xia Huang "Stable weak solutions of weighted nonlinear elliptic equations". Commun. Pure. Appl. Anal. 13(2014), 293-305

CPDE 2013-14 Kim, Seunghyeok, Kwon, Ohsang, Lee, Youngae "Solutions with a prescribed number of zeros for nonlinear Schrödinger systems". Nonlinear Anal. 86 (2013), 74–88.

CPDE 2013-15 Dong-Ho Tsai, Xiao-Liu Wang "On a Length-preserving Nonlocal Flow of Convex Closed Plane Curves". Preprint 

CPDE 2013-16 Chi-Cheung Poon, Dong-Ho Tsai "On a Nonlinear Parabolic Equation Arising from Anisotropic Plane Curves Evolution". Preprint 

CPDE 2013-17 Yong-Jung Kim, Kwon, Ohsang, Li, Fang "Evolution of dispersal toward fitness". B. Math. Biol., 75 (2013), no. 12, 2474–2498.

CPDE 2013-18 Li, Fang, Yuan Lou, Yang Wang "Global dynamics of a competition model with nonlocal dispersal I: The shadow system". Submitted to JMAA 

CPDE 2013-19 Bai, Xueli, Li, Fang "Global dynamics of a competition model with nonlocal dispersal II: The full system". Submitted to J. Diff. Eqns. 

CPDE 2013-20 Ni, Wei-Ming, Wu, Yaping, Xu, Qian "The existence and stability of nontrivial steady states for S-K-T competition model with cross-diffusion". Discrete and Continuous Dynamical Systems 34 (2014), 5271 - 5298

CPDE 2013-21 Lou, Yuan, Ni, Wei-Ming, Yotsutani, Shoji "Pattern formation in a cross-diffusion system". Discrete and Continuous Dynamical Systems - a Special Issue on “Dissipative Systems and Applications with Emphasis on Nonlocal or Nonlinear Diffusion Problems”  

CPDE 2013-22 Lam, King-Yeung, Wei-Ming Ni  "Advection-mediated competition in general environments". J. Diff. Eqns.  

CPDE 2013-23 Yaniv Almog, Bernard Helffer, Xing-Bin Pan "Superconductivity Near the Normal State in a Half-Plane under the Action of a Perpendicular Electric Current and an Induced Magnetic Field". Trans AMS, Volume 365, Number 3, March 2013, Pages 1183–1217

2012

CPDE 2012-01 Ohsang Kwon "Existence of standing waves of nonlinear Schrödinger equations with potentials vanishing at infinity". J. Math. Anal. Appl.  387 (2012), no. 2, 920–930.

CPDE 2012-02 Fang Li, Kimie Nakashima "Transition layers for a spatially inhomogeneous Allen-Cahn equation in multi-dimensional domains". Discrete Contin. Dyn. Syst. 32 (2012), no. 4, 1391–1420.

CPDE 2012-03 King-Yeung Lam, Wei-Ming Ni "Uniqueness and Complete Dynamics in the Heterogeneous Competition-Diffusion Systems". SIAM J. Appl. Math,  72 (2012), 1695-1712.

CPDE 2012-04 Wang, Lina "Rate of Convergence of Solutions to Traveling Waves for Some Quasi-linear Relaxation Systems with Diffusion". Preprint. 

CPDE 2012-05 Wang, Lina, Hailei Shao, Yaping Wu "Stability of travelling front solutions for a forest dynamical system with cross-diffusion". IMA Journal of Applied Mathematics, (2013) 78,494-512

CPDE 2012-06 Jaejoung Byeon, Ohsang Kwon, Yoshihito Oshita "Standing wave concentrating on compact manifold for nonlinear Schrodinger equations". Preprint 

CPDE 2012-07 Bae, Soohyun, Kwon, Ohsang "Nonexistence of positive solutions of nonlinear elliptic systems with potentials vanishing at infinity". Nonlinear Anal.  75 (2012), no. 10, 4025–4032.

CPDE 2012-08 Jingyu Li, Lina Wang, Kaijun Zhang  "Asymptotic stability of a composite wave of two traveling waves to a hyperbolic-parabolic system modeling chemotaxis". Math. Meth. Appl. Sci.  36(2013), 1862-1877.

CPDE 2012-09 Jingyu Li, Lina Wang "Nonlinear stability of traveling waves to a hyperbolic-parabolic model arising in chemotaxis with boundary effect". Preprint 

CPDE 2012-10 Yong-Jung Kim, Ohsang Kwon, Fang Li "Global asymptotic stability and the ideal free distribution in a starvation driven diffusion". J. Math. Biol., 68 (2014), no. 6, 1341–1370

CPDE 2012-11 Fang Li, Nung Kwan Yip "Finite time blow-up of parabolic systems with nonlocal terms". Accepted by Indiana U. Math. J. 

CPDE 2012-12 Fang Li, Xiaoming Zheng "Singularity analysis of a reaction-diffusion equation with a solution-dependent Dirac delta source". Applied Mathematics Letters, 25 (2012), 2179-2183.

CPDE 2012-13 Fang Li, Yanyan Zhang "On steady-state solutions of a 1-D chemotaxis model with volume-filling effect". JMAA, 408 (2013), 1-18

CPDE 2012-14 Fanghua Lin, Dan Liu "On the Betti numbers of second-order elliptic PDEs". Preprint 

CPDE 2012-15 Dan Liu "Partial Regularity of the Landau-de Gennes Energy Model for Liquid Crystals". Preprint 

CPDE 2012-16 Xiaoqing He, Wei-Ming Ni "The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity". J. Diff. Eqns.,  254 (2013), 528 - 546.

CPDE 2012-17 He, Xiaoqing, Ni, Wei-Ming "The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system II: The general case". J. Diff. Eqns. 254 (2013), 4088 - 4108 

CPDE 2012-18 Yaniv Almog, Bernard Helffer, Xing-Bin Pan "Superconductivity Near the Normal State in a Half-Plane under the Action of a Perpendicular Electric Current and an Induced Magnetic Field, Part II: The Large Conductivity Limit∗". SIAM J. MATH. ANAL Vol. 44, No. 6, pp. 3671–3733

2011