3 citations · 9 across the 18 of their papers we have counts for
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Symmetric properties for Choquard equations involving fully nonlinear nonlocal operator
Pengyan Wang, Li Chen, Pengcheng Niu
In this paper, the positive solutions to Choquard equation involving fully nonlinear nonlocal operator are shown to be symmetric and monotone by using the moving plane method which…
On some Liouville type Theorems for the stationary MHD and Hall-MHD equations
Zhouyu Li, Pan Liu, Pengcheng Niu
We prove several Liouville type results for the stationary MHD and Hall-MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces…
On a Conjecture of Cai-Zhang-Shen for Figurate Primes
Junli Zhang, Pengcheng Niu
A conjecture of Cai-Zhang-Shen for figurate primes says that every integer is the sum of two figurate primes. In this paper we give an equivalent proposition to the conjectur…
Global well-posedness and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of the 2-D MHD equation
Zhouyu Li, Pan Liu, Pengcheng Niu
This paper is concerned with the Cauchy problem of the two-dimensional MHD system with magnetic diffusion. It was proved that the MHD equations have a unique global strong solution…