38 citations · 49 across the 8 of their papers we have counts for
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math.AP2022★ 1 cited
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…
math.AP2022★ 1 cited
Qualitative properties of solutions for system involving fractional Laplacian
Ran Zhuo, Yingshu Lü
In this paper, we consider the following nonlinear system involving the fractional Laplacian \begin{equation} \left\{\begin{array}{ll} (-Δ)^{s} u (x)= f(u,\,v), \\ (-Δ)^{s} v (x)=…
math.AP2022★ 2 cited
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…