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math.AP2025
Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities
Zhentao He, Chao Ji
In this paper, we study the following nonlinear Dirac equations (NLDE) on noncompact metric graph with localized nonlinearities \begin{equation} \mathcal{D} u - Ïu=…
math.AP2024
The double phase problems on lattice graphs
Zhentao He, Chao Ji
In this paper, we first develop the theory of Musielak-Orlicz spaces on locally finite graphs, including completeness, reflexivity, separability, and so on. Then, we give some elem…