4 papers
Sign-preserving solutions to the Tzitzéica equation on lattice graphs
Pengxiu Yu, Yiping Zhang
On the lattice graph , we establish the existence of sign-preserving solutions to the Tzitzéica equation. We prove the existence of positive solutions and two classes…
The lifespan of positive solutions of heat equation with power-logarithmic nonlinearity on locally finite graph
Pengxiu Yu, Yiping Zhang
On a locally finite connected graph , using the first eigenvalue method introduced by Kaplan \cite{MR160044} and the discrete Phragmén-Lindelöf principle developed by Hu-W…
Invariant Densities on Cylinders with an Interface: Existence, Uniqueness, and Exponential Asymptotics
Pengxiu Yu, Yiping Zhang
We study the stationary double-divergence equation on the infinite cylinder , whose coefficients coincide with two possibly different periodic media…
Large-scale boundary estimates of parabolic homogenization over rough boundaries
Pengxiu Yu, Yiping Zhang
In this paper, for a family of second-order parabolic system or equation with rapidly oscillating and time-dependent periodic coefficients over rough boundaries, we obtain the larg…