27 citations · 29 across the 8 of their papers we have counts for
9 papers
Symmetry of solutions to nonlocal Neumann problems with the fractional Laplacian in half spaces
Baiyu Liu, Wenli Tan
This paper investigates the fractional Laplacian equation in half-spaces, focusing on cases with nonlocal Neumann boundary conditions. We consider both single equations and systems…
Asymptotic symmetry of solutions for reaction-diffusion equations via elliptic geometry
Baiyu Liu, Wenlong Yang
In this paper, we investigate the asymptotic symmetry and monotonicity of positive solutions to a reaction-diffusion equation in the unit ball, utilizing techniques from elliptic g…
Finite time blow-up and global solutions for a nonlocal parabolic equation at high energy level
Xiaoliang Li, Baiyu Liu
In this paper, we consider the solution of a nonlocal parabolic equation. Focusing on the solutions with initial data at high energy level, we find the criteria for global existenc…
Vacuum isolating, blow up threshold and asymptotic behavior of solutions for a nonlocal parabolic equation
Xiaoliang Li, Baiyu Liu
In this paper, we consider a nonlocal parabolic equation associated with initial and Dirichlet boundary conditions. Firstly, we discuss the vacuum isolating behavior of solutions w…
Radial symmetry results for fractional Laplacian systems
Baiyu Liu, Li Ma
In this paper, we generalize the direct method of moving planes for the fractional Laplacian to the system case. Considering a coupled nonlinear system with fractional Laplacian, w…
Local existence to the cross curvature flow on 3-manifolds with boundary
Li Ma, Baiyu Liu
In this paper, we use the DeTurck trick to study the short-time existence of solutions to the Dirichlet and Newmann boundary problems of the cross curvature flow on 3-manifolds wit…