魏雷 男,汉族,
1978年11月出生,江苏邳州人。
1997年9月-2004年6月 徐州师范大学 本科、硕士
2010年3月 于东南大学数学系取得理学博士学位
2011年9月-2017年6月 江苏师范大学 数学与统计学院 副教授
2012年6月-2012年9月 访问美国德克萨斯大学泛美分校
2014年2月-2015年2月 访问澳大利亚新英格兰大学
2017年7月-至今 江苏师范大学 数学与统计学院 教授、硕士生导师
主要研究方向:非线性泛函分析、非线性椭圆型方程
已发表论文:
X. Cheng, Z. Feng, Lei Wei, Multiple critical points of a functional in product spaces with applications to elliptic systems, J. Geom. Anal. 33 (2023), no. 1, Paper No. 36, 36 pp.
X. Cheng, Lei Wei, Y. Zhang, Estimate, Existence and nonexistence of positive solutions of Hardy-Henon equations, Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 2, 518–541.
Yujuan Chen, Lei Wei,Yimin Zhang, Aysmptotic behavior and symmetry of positive solutions to quasilinear equations in a half-space, Acta Math. Sci. Ser. B (Engl. Ed.) 42 (2022), no. 5, 2149–2164.
Haihua Lu, Lei Wei, Cheng-Cheng Zhu, Free boundary problems of the logistic equation with nonlocal diffusion coefficient, J. Math. Anal. Appl. 502 (2021) 125276.
X. Cheng, Z. Feng, Lei Wei, Positive solutions for a class of elliptic equations, J. Differential Equations, 275 (2021), 1-26.
Z. Feng, C. Tan, Lei Wei, Uniqueness and asymptotic behavior of positive solutions to quasilinear elliptic problems with Hardy potential, Nonlinear Analysis, 202 (2021), 112152, 24pp.
X.Cheng, Z. Feng, Lei Wei, Nontrivial solutions for a quasilinear elliptic system with weight functions, Differential and Integral Equations, 33 (11-12) (2020), 625-656.
Lei Wei, Yihong Du, Positive solutions of elliptic equations with a strong singular potential,Bull. London Math. Soc. 51 (2019), 251-266.
Lei Wei, Zengji Du, Uniqueness and local properties of positive solutions to a semilinear elliptic equation with singular potential,Communication in Contemporary Mathematics, 21 (5) (2019), 21pp.
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.
Weiwei Ding, 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)
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.
主持参与科研项目:
国家自然科学基金面上项目, 几个椭圆型方程(组)解的相关问题的研究, 主持, 2024-2027.
国家自然科学基金面上项目,椭圆型偏微分方程中若干奇异问题的研究,主持, 2019-2022.
国家自然科学基金面上项目,具有时空周期性和奇异性反应扩散方程若干问题的研究,参与, 2013-2016.
国家自然科学基金面上项目,非线性方程中的拓扑与变分方法,参与, 2012-2015.
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