40 citations · 151 across the 28 of their papers we have counts for
29 papers
A localized criterion for the regularity of solutions to Navier-Stokes equations
Congming Li, Chenkai Liu, Ran Zhuo
The Serrin-Prodi-Ladyzhenskaya type criteria for the regularity of solutions to the incompressible Navier-Stokes equations are fundamental in the study of the millennium…
Uniqueness and some related estimates for Dirichlet problem with fractional Laplacian
Congming Li, Chenkai Liu
For the fractional Laplace equation, a surprising observation is the non-uniqueness for the basic Dirichlet type problems. In this paper, a somewhat sharp uniqueness condition for…
Analysis on the steady Euler flows with stagnation points in an infinitely long nozzle
Congming Li, Yingshu Lv, Henrik Shahgholian +1
A recent prominent result asserts that steady incompressible Euler flows strictly away from stagnation in a two-dimensional infinitely long strip must be shear flows. On the other…
A note on the Gagliardo-Nirenberg inequality in a bounded domain
Congming Li, Kai Zhang
The classical Gagliardo-Nirenberg inequality was established in . An extension to a bounded domain was given by Gagliardo in 1959. In this note, we present a simple p…
Maximum principles for Laplacian and fractional Laplacian with critical integrability
Congming Li, Yingshu Lü
In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider the critical cases for Laplacian with zero order te…
A Hopf lemma and regularity for fractional Laplacians
Wenxiong Chen, Congming Li, Shijie Qi
In this paper, we study qualitative properties of the fractional -Laplacian. Specifically, we establish a Hopf type lemma for positive weak super-solutions of the fractional $p-…