Year: 2024
Type: preprint
Abstract: 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 elementary properties of double phase operators on locally finite graphs. Finally, as applications of previous theory, we prove some existence results of solutions to double phase problems on lattice graphs.
Source: arXiv (Cornell University)
Authors: He, Zhentao, Ji, Chao
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G6184954706
OpenAlex ID: W4394866612