个人简介
主讲课程: 概率论与数理统计;复变函数;常微分方程;实变函数; 数学物理方程;泛函分析;高等数学;线性代数;微积分。
实践教学: 指导本科生毕业论文设计 6 篇,其中 1 篇获校优秀毕业论文; 指导大学生 SRT 科研创新训练项目 2 项,其中校级 1 项,院级 1 项。
主要经历
2016.1--至今 南京农业大学 副教授 2013.7--2015.12 南京农业大学 讲 师
研究课题: 1)来自几何、物理与生物数学中的非线性偏微分方程;
非线性偏微分方程的集中现象。
研究领域
非线性偏微分方程、非线性分析、奇异摄动与变分法
主持教研项目: 1)研究型高等农业院校“线性代数”教学质量提升的探索与实践,中华农业科教基金 会教材建设研究项目,NKJ201502031,1 万元,2015.11--2018.10; 2)基于大学数学与初等数学差异的研究型高等农林院校大学数学教学质量提升的探索 与实践,南京农业大学理学院教育教学改革研究项目,0.6 万元, 2015.7--2017.6。 主持科研项目: 1)某些非线性椭圆方程解的集中现象,中央高校基本科研业务费,KYZ201541, 8 万元, 2015.6--2018.6,在研; 2)带权双曲正弦-Poisson 方程变号泡泡解的构造,南京农业大学理学院青年创新基金, LXYQ201300106,1 万元,2013.9--2014.9,已结题。 参与科研项目: 1) 一类 Finsler 平均曲率流与各向异性平均曲率曲面的唯一性,国家自然科学基金面 上项目,11671354,2017.1--2020.12,第一参与人; 2) KAM 理论在偏微分方程及格点模型中的应用,国家自然科学基金青年项目, 11601232,2017.1--2019.12, 第一参与人; 3) 一类非线性偏微分方程(组)解的分岔及稳定性分析,江苏省青年科学基金, BK20150651,2015.7--2018.7,第二参与人; 4) Ermakov 系统与 Hamilton 结构的研究,中央高校基本科研业务费,KYZ2016049, 2016.6--2019.6,第一参与人
近期论文
查看导师新发文章
(温馨提示:请注意重名现象,建议点开原文通过作者单位确认)
12. Zhang, Yibin; Shi, Lei; Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition. Advances in Nonlinear Analysis,
2016, Onlined. (SCI Corresponding author) 11. Zhang, Yibin; Shi, Lei; Multi-peak solutions for a planar Robin elliptic problem with large nonlinear exponent. Electronic Journal of Differential Equations, Vol. 2016 (2016), No.103, pp.1–21. (SCI Corresponding author) 10. Zhang, Yibin; Yang, Haitao; On the number of spikes concentrating on hyperplanes or line-segments to a Lin-Ni-Takagi problem. Applicable Analysis, 94 (2015), no.9, 1851–1876. (SCI Corresponding author) 9. Zhang, Yibin; Yang, Haitao; Mixed interior and boundary peak solutions of the Neumann problem for the Henon equation in R2. Electronic Journal of Differential Equations, Vol. 2015 (2015), No.76, pp.1–28. (SCI Corresponding author) 8. Zhang, Yibin; Yang, Haitao; Multi-peak nodal solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity. Acta Mathematicae Applicatae Sinica, English Series. 31 (2015), no. 1, 261–276. (SCI Corresponding author) 7. Zhang, Yibin; Xiao, Qingkun; Yang, Haitao; Boundary concentrating solutions for an anisotropic planar nonlinear Neumann problem with large exponent. J. Math. Anal. Appl., 426 (2015), no. 1, 138–171 (SCI Corresponding author) 6. Chang, Yibin; Yang, Haitao; Concentrating solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity. Complex Var. Elliptic Equ. 59 (2014), no. 8, 1096–1117. (SCI Corresponding author) 5. Zhang, Yibin; Yang, Haitao; Construction of nodal bubbling solutions for the weighted sinh-Poisson equation. Abstr. Appl. Anal. 2013, Art. ID 873948, 16 pp.(SCI Corresponding author) 4. Chang, Yibin; Yang, Haitao; Singular limits for 2-dimensional elliptic Neumann problem with exponential nonlinearity and singular data. Commun. Contemp. Math. 15 (2013), no. 5, 1350024, 43 pp. (SCI Corresponding author) 3. Chang, Yibin; Yang, Haitao; Singular limits in Liouville-type equations with mixed interior and boundary singular sources. Internat. J. Theoret. Phys. 52 (2013), no. 6, 1925–1936. (SCI Corresponding author) 2. Chang, Yibin; Yang, Haitao; Multiple blowing-up and concentrating solutions for Liouville-type equations with singular sources under mixed boundary conditions. Bound. Value Probl. 2012, 2012:33, 25 pp. (SCI Corresponding author) 1. Yang, Haitao; Chang, Yibin; On the blow-up boundary solutions of the Monge-Ampére equation with singular weights. Commun. Pure Appl. Anal. 11 (2012), no. 2, 697–708. ( SCI )