2 citations · 6 across the 8 of their papers we have counts for
5 papers · 1 filter
A priori estimates for anti-symmetric solutions to a fractional Laplacian equation in a bounded domain
Chenkai Liu, Shaodong Wang, Ran Zhuo
In this paper, we obtain a priori estimates for the set of anti-symmetric solutions to a fractional Laplacian equation in a bounded domain using a blowing-up and rescaling argument…
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…
On the Dirichlet problem for fractional Laplace equation on a general domain
Chenkai Liu, Ran Zhuo
In this paper, we study Dirichlet problems of fractional Laplace (Poisson) equations on a general bounded domain in . Green's functions and Poisson kernels are import…
Singular solutions of linear problems with fractional Laplacian
Congming Li, Chenkai Liu, Zhigang Wu +1
In this paper, we study singular solutions of linear problems with fractional Laplacian. First, we establish Bôcher type theorems on a punctured ball via distributional approach. T…