Monotone operator methods for a class of nonlocal multi-phase variable exponent problems
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915144509947904 |
|---|---|
| author | Avci, Mustafa |
| author_facet | Avci, Mustafa |
| contents | In this paper, we study a class of nonlocal multi-phase variable exponent problems within the framework of a newly introduced Musielak-Orlicz Sobolev space. We consider two problems, each distinguished by the type of nonlinearity it includes. To establish the existence of at least one nontrivial solution for each problem, we employ two different monotone operator methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06081 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monotone operator methods for a class of nonlocal multi-phase variable exponent problems Avci, Mustafa Analysis of PDEs Mathematical Physics 35A01, 35A15, 35D30, 35J66, 35J75 In this paper, we study a class of nonlocal multi-phase variable exponent problems within the framework of a newly introduced Musielak-Orlicz Sobolev space. We consider two problems, each distinguished by the type of nonlinearity it includes. To establish the existence of at least one nontrivial solution for each problem, we employ two different monotone operator methods. |
| title | Monotone operator methods for a class of nonlocal multi-phase variable exponent problems |
| topic | Analysis of PDEs Mathematical Physics 35A01, 35A15, 35D30, 35J66, 35J75 |
| url | https://arxiv.org/abs/2502.06081 |