石冠男,毕业于哈尔滨工业大学,理学博士,上海师范大学博士后,副教授,硕士研究生导师。国际SCI期刊Journal of Inequalities and Applications 副主编,曾赴美国华盛顿大学、西雅图大学、北京师范大学访问学。曾获2023年度校劳动模范、2023年度校巾帼标兵、2021年度校优秀教师、2020年度校“四好”女教师荣誉称号。
主要研究方向为微分形式及其算子理论、分数阶偏微分方程解的适定性分析等。累计发表科研论文20余篇,其中SCI论文10余篇。主持国家自然科学基金“天元数学基金”1项、国家教育部“2023年春晖计划国际合作项目”1项、黑龙江省博士后科研项目1项、校级科研项目4项,科研经费累计50余万元,代表性论著为:
[1] Guannan Shi, Ye Zhang, Qualitative analysis of very weak solutions to Dirac-harmonic equations, Journal of inequalities and applications, 2022:83.
[2] Shusen Ding, Guannan Shi, Donna Sylvester, Higher order embeddings for the composition of the harmonic projection and homotopy operators, High-Dimensional Optimization and Probability, 2022,191:165-183.
[3] Lifeng Guo, Yan Sun, Guannan Shi, Ground States for Fractional Nonlocal Equations withLogarithmic Nonlinearity, Opuscula Mathematica, 2022:2.
[4] Guannan Shi, Shusen Ding, Bing Liu, Characterization of the non-homogenous Dirac-harmonic equation, Journal of inequalities and applications, 2021:76.
[5] Shusen Ding, Guannan Shi, Yuming Xing, Estimates for Lipschitz and BMO Norms of Operators on Differential Forms, Nonlinear Analysis: Differential Equations and Applications, 2021:173.
[6] Shusen Ding, Guannan Shi, Yuming Xing, Higher integrability of iterated operators on differential forms, Nonlinear Analysis-Theory Method & Applications,2016:145.
[7] Guannan Shi, Shusen Ding,Yuming Xing L-phi-Embedding inequalities for some operators on differential forms, Journal of Inequalities and Applications,2015.