The double phase problems on lattice graphs
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916205729677312 |
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| author | He, Zhentao Ji, Chao |
| author_facet | He, Zhentao Ji, Chao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09501 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The double phase problems on lattice graphs He, Zhentao Ji, Chao Analysis of PDEs 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. |
| title | The double phase problems on lattice graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.09501 |