Study of Generalized Double-Phase Problem with ς-Laplacian Operator
In this paper, we explore a novel class of double-phase ς-Laplacian problems involving a ϕ-Hilfer fractional operator. Employing variational techniques and weighted Musielak space theory, we establish the existence of infinitely many positive solutions under suitable assumptions on the nonlinearities. Our main results are original and significantly advance the literature on problems featuring ϕ-Hilfer derivatives and the ς-Laplacian operator.
Authors
- Hamza El‐Houari (ORCID: https://orcid.org/0000-0003-4240-1286)
- Abdeljabbar Ghanmi (ORCID: https://orcid.org/0000-0001-8121-0496)
- Elhoussain Arhrrabi (ORCID: https://orcid.org/0000-0002-9239-4603)
- Khaled Kefi (ORCID: https://orcid.org/0000-0001-9277-5820)
Institutions
- Northern Border University (SA)
- University of Jeddah (SA)
- Université Sultan Moulay Slimane (MA)
- École Nationale de Commerce et de Gestion de Tanger (MA)
- Université Moulay Ismail de Meknes (MA)
Publication Details
- Journal
- Mathematics
- Published
- 2025-02-21
- DOI
- https://doi.org/10.3390/math13050700
- Citations
- 6
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 22.36