2 papers
math.AP2023
Monotonicity of positive solutions for an indefinite logarithmic Laplacian equation
Baiyu Liu, Shasha Xu
In this paper, we investigate a nonlocal equation involving the logarithmic Laplacian with indefinite nonlinearities: \begin{equation*} \left\{ \begin{array}{ll} L_Δu(x)=a(x_n)f(u)…
math.DG2010
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…