Jianxiong Wang is a Ph.D. student at the University of Connecticut, advised by Dr. Guozhen Lu. Jianxiong is expected to graduate in May 2024.

In this talk, Jianxiong shows that nontrivial solutions to higher and fractional order equations with certain nonlinearity are radially symmetric and nonincreasing on the entire space. This is based on his joint work with Jungang Li and Guozhen Lu, preprints available at arXiv:2210.02278 and arXiv:2310.13811.

Keywords: Higher order conformal equations; the method of moving spheres on hyperbolic space; Helgason-Fourier transform; Green’s function estimates.
MSC2020: 35, 58