魏雷[江蘇師範大學數學與統計學院教師]

魏雷，江蘇師範大學數學與統計學院，教師，教授、碩士生導師，理學博士學位。

人物經歷：

魏雷 ，男，漢族，1978年11月出生，江蘇邳州人。

1997年9月-2004年6月徐州師範大學 本科、碩士

2010年3月 於東南大學數學系取得理學博士學位

2011年9月-2017年6月 江蘇師範大學 數學與統計學院 副教授

2012年6月-2012年9月 訪問美國德克薩斯大學泛美分校

2014年2月-2015年2月 訪問澳大利亞新英格蘭大學

2017年7月-至今 江蘇師範大學 數學與統計學院 教授、碩士生導師

研究方向：

非線性橢圓方程、反應擴散方程

已發表論文

Haihua Lu, Lei Wei, Cheng-Cheng Zhu, Free boundary problems of the logistic equation with nonlocal diffusion coefficient, submitted.

Yujuan Chen, Lei Wei, Aysmptotic behavior and symmetry of positive solutions to quasilinear equations in a half-space, submitted.

Lei Wei, Uniqueness and singular behavior of positive solutions to quasilinear elliptic problems with Hardy potential, submitted.

Lei Wei, Yihong Du, Positive solutions of elliptic equations with a strong singular potential, Bull. London Math. Soc. toappear。

Lei Wei, Zengji Du,Uniqueness and local properties of positive solutions to a semilinear elliptic equation with singular potential, Communication in Contemporary Mathematics. toappear

Yihong Du, Lei Wei, Ling Zhou, Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary, J. Dynamics and Differential Equations, 30 (2018), 1389-1426.

Haihua Lu, Lei Wei,Global existence and blow-up of positive solutions of a parabolic problem with free boundaries, Nonlinear Analysis: Real World Applications, 39 (2018), 77-92.

WeiweiDing, Rui Peng, Lei Wei, The diffusive logistic model with a free boundary in a heterogeneous time-peiodic environment, J. Differential Equations, 263 (2017), 2736-2779.

Rui Peng, Xianfa Song, Lei Wei, Existence, nonexistence and uniqueness of positive stationary solutions of a singular Gierer-Meinhardt system, Discrete Contin. Dyn. Syst.,37(2017), 4489-4505.

Lei Wei, Yihong Du, Exact singular behavior of positive solutions to nonlinear elliptic equations with a Hardy potential, J. Differential Equations, 262(2017), 3864-3886.

Lei Wei, Xiyou Cheng, Z. Feng,Exact behavior of positive solutions to elliptic equations with multi-singular inverse square potentials, Discrete Contin. Dyn. Syst., 36 (2016), 7169-7189.

Lei Wei, Asymptotic behavior and symmetry of positive solutions to nonlinear elliptic equations in a half-space, Proc. Roy. Soc. Edinburgh Sect. A, 146 (2016), 1243-1263.

Lei Wei, Guanghui Zhang, Maolin Zhou, Long time behavior for solutions of the diffusive logistic equation with advection and free boundary, Calc. Var. Partial Differential Equations., 4 (55) (2016)

Lei Wei, Xiyou Cheng, Z. Feng, Existence and behavior of positive solutions to elliptic system with Hardy potential, Electron. J. Diff. Equ., 223(2016), 1-14.

Yihong Du, Lei Wei, Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential, J. London Math. Soc.91 (2015), 731–749.

Lei Wei,Zhaosheng Feng, Isolated singularity for semilinear elliptic equations, Discrete Contin. Dyn. Syst., 35 (2015), 3239-3252.

Xiyou Cheng, Lei Wei,Dynamics of the p-Laplacian equations with nonlinear dynamic boundary conditions, Electronic Journal of Differential Equations, 37 (2015), 1-15.

Lei Wei,Zhaosheng Feng, Existence and nonexistence of solutions for quasilinear elliptic systems, Dynamics of PDE, 10 (2013), 25-42.

Lei Wei,Jiang Zhu,The existence and blow-up rate of large solutions of one-dimensional p-Laplacianequations， Nonlinear Analysis: Real World Applications,13 (2012), 665-676.

Lei Wei,The existence of large solutions of semilinear elliptic equations with negative exponents, Nonlineae Analysis: TMA, 73 (2010), 1739-1746.

Lei Wei,Mingxin Wang, Jiang Zhu,Multiple nontrivial solutions for a class of p-Laplacian equations, Acta Applicandae Mathematicae, 110 (2010), 1153-1167.

Lei Wei,Mingxin Wang,Existence of large solutions of a class of quasilinear elliptic equations with singular boundary, Acta Mathematica Hungarica,129 (2010), 81-95.

Lei Wei,Mingxin Wang,Existence and estimate of large solutions for an elliptic system, NonlinearAnalysis:TMA,72 (2009), 1096-1104.

Mingxin Wang,Lei Wei,Existence and boundary blow-up rates of solutions for boundary blow-up elliptic systems, Nonlinear Analysis:TMA，71 (2009), 2022-2032.

Lei Wei,Jiang Zhu, A second order multivalued boundary-value problem and impulsive neutral functional differential inclusions in Banach spaces, Nonlinear Oscillations, 11 (2008), 191-207.

Lei Wei, Jiang Zhu, Yeol Je Cho, Controllability of the second order differential inclusions in Banach spaces, Comm. Appl. Nonlinear Anal.,13(2006), 93-105.

主持參與基金情況：

國家自然科學基金面上項目，橢圓型偏微分方程中若干奇異問題的研究，主持， 2019-2022

國家自然科學基金面上項目，具有時空周期性和奇異性反應擴散方程若干問題的研究，參與， 2013-2016

國家自然科學基金面上項目，非線性方程中的拓撲與變分方法，參與， 2012-2015

國家自然科學基金天元基金，含Hardy位勢的邊界爆破問題的定性研究， 主持，2012-2012

江蘇省高校自然科學基金，帶Hardy位勢的橢圓型方程邊界爆破的定性研究，主持，2011-2013