7 papers
Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality
Bao Yu, Yang Zhou
Let and . We first prove the local trace analogue of the sharp one-bubble critical-point stability theorem of Liu and Zhang~\cite{LiuZhang2025}: near a positive trac…
Liouville theorem for subcritical nonlinear heat equation
Yang Zhou
We obtain a Li-Yau-type estimate for nonnegative ancient solutions to the subcritical semilinear heat equation $\frac{\p u}{\p t}=\De u+u^p$ in $\rz^n\times(-\infty,0)$. Then, we c…
A fluctuating lattice Boltzmann formulation based on orthogonal central moments
Alessandro De Rosis, Yang Zhou
Thermal fluctuations play a central role in fluid dynamics at mesoscopic scales and must be incorporated into numerical schemes in a manner consistent with statistical mechanics. I…
Sharp Onofri trace inequality on the upper half space and quasi-linear Liouville equation with Neumann boundary
Jingbo Dou, Yazhou Han, Shuang Yuan +1
In this paper, we establish a sharp Onofri trace inequality on the upper half space by considering the limiting case of Sobolev trace inequalit…
Liouville type theorem for a class of quasilinear p-Laplace type equations in the half space
Bao Yu, Yang Zhou
We use the method of vector fields to obtain a Liouville-type theorem for a class of quasilinear p-Laplace type equations with conormal boundary condition in the half space. These…
A priori estimates for parabolic Monge-Ampère type equations
Yang Zhou, Ruixuan Zhu
We prove the existence and regularity of convex solutions to the first initial-boundary value problem for the parabolic Monge-Ampère equationn $$ \left\{\begin{eqnarray} &&-u_t+\d…