3 papers
math.AP2021
Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains
Dong Li, Ke Wang
We show that the symmetric radial decreasing rearrangement can increase the fractional Gagliardo semi-norm in domains.
math.AP2020
Remarks on a nonlocal transport
Dong Li, Jose Rodrigo
We consider a one dimensional nonlocal transport equation and its natural multi-dimensional analogues. By using a new pointwise inequality for the Hilbert transform, we give a shor…
math.AP2018
Dynamics of one fold symmetric patches for the aggregation equation and collapse to singular measure
Taoufik Hmidi, Dong Li
We are concerned with the dynamics of one fold symmetric patches for the two-dimensional aggregation equation associated to the Newtonian potential. We reformulate a suitable graph…