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math.AP2025
Existence results for Tzitzéica equation via topological degree method on graphs
Kaizhe Chen, Heng Zhang
We derive some existence results for the solutions of the Tzitzéica equation \begin{equation*} -Δu + h_1(x)e^{Au} + h_2(x)e^{-Bu}=0 \end{equation*} and the generalized Tzitzéica eq…
math.CO2025
Monotonic normalized heat diffusion for distance-regular graphs with classical parameters of diameter
Shiping Liu, Heng Zhang
We prove the monotonic normalized heat diffusion property on distance-regular graphs with classical parameters of diameter . Regev and Shinkar found a Cayley graph for which thi…