Yi Fang, Ph.D.

Associate professor

Department of Applied Mathematics

School of Microelectronics &Data Science

Anhui University of Technology

Research Interests

Some properties on the solutions to the elliptic PDEs with critical exponents

Teaching Courses

l Real Analysis, Differential Geometry, Probability and Statistics

l Introduction to Functional Analysis, Elliptic PDEs of Second Order

Grants

l 2019.01-2021.12，Some researches on the scalar curvatures of fractional type，National Science Foundation of China (11801006)

l 2021.01-2024.12，Research on the geometry, topology and analysis of scalar-type curvatures and their critical metrics，National Science Foundation of China (12071489)

Selected Publications

1. Yi Fang and Mar Gonzalez, Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe-type equations, Pacific J. Math., 278(2) (2015), 369–405.

2. Yi Fang and Wei Yuan, A sphere theorem for Bach-flat manifolds with positive constant scalar curvature, Diff. Geom. Appl. 64(2019), 80-91.

3. Jiaqi Chen, Yi Fang, Yan He and Jingyang Zhong, Volume comparison theorem with respect to sigma_2 curvature, arXiv2111.09532v2[math.DG].