讲师

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甄茂鼎

  • 职称 :讲师
  • 邮箱 :maodingzhen@hfut.edu.cn
  • 职务 :教师
  • 所属系 :应用数学系
  • 主讲课程 :高等数学,线性代数
  • 研究领域 :非线性泛函分析,临界点理论。
教育经历
  • 2020年6月博士毕业于华中科技大学。
工作经历
  • 2020/9至今在合肥工业大学数学学院,教师。
    2019/5-2019/12,加拿大不列颠哥伦比亚大学(University of British Columbia),数学系,访问学者,合作导师:魏军城(Juncheng Wei)教授
科研项目
  • (1)国家自然科学基金面上项目,11571125,非局部偏微分方程解的渐近性态研究,2016/1-2019/12,50万元,已结题,参与。
    (2)国家自然科学基金面上项目,11971184,非局部系统的渐近性态分析,2020/1 -2023/12,50万元,在研,参与。
研究成果
  • 在The Journal of Geometry Analysis, Discrete and Continnuous Dynamical Systems, Revista Matematica Complutense, Analysis in Theory and Applications等杂志发表学术论文10余篇,主要相关成果如下:
    [1] Maoding Zhen, Normalized solutions for Schrödinger system with subcritical Sobolev exponent and combined nonlinearities, The Journal of Geometry Analysis(Accepted)
    [2] Maoding Zhen, Jinchun He, Haoyuan Xu and Meihua Yang, Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent, Discrete and Continnuous Dynamical Systems, 39(2019), 6523-6539.
    [3] Maoding Zhen, Binlin Zhang and Vicentiu D. Radulescu, Normalized solutions for nonlinear coupled fractional system: low and high perturbations in the attractive case, Discrete and Continnuous Dynamical Systems, 41(2021), 2653-2676.
    [4] Juncheng Wei and Maoding Zhen, Classification of positive ground state solutions with different Morse indices for nonlinear N-coupled Schrödinger system, Analysis in Theory and Applications 2(2021), 230-266.
    [5] Maoding Zhen; Binlin Zhang; Normalized ground states for the critical fractional NLS equation with a perturbation, Revista Matematica Complutense. https://doi.org/10.1007/s13163-021-00388-w
    预印本论文:
    1,Xiao Luo, Juncheng Wei, Xiaolong Yang and Maoding Zhen, Normalized solutions for Schrödinger system with quadratic and cubic interactions, arXiv:2108.09461
    2, Lipeng Duan, Xiao Luo and Maoding Zhen, New vector solutions for nonlinear Schrödinger systems in , 2021, Preprint.