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math.AP2026
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…
math.AP2026
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…