On a $p(x,.)$-integrodifferential problem with Neumann boundary conditions
This study examines a class of a bi-nonlocal problem involving a generalized integro-differential operator of elliptic type, characterized by a singular kernel, with nonlocal nonlinear Neumann boundary conditions. We establish the existence of infinitely many solutions in a general fractional Sobolev space with variable exponent.
Authors
- Mohammed Shimi (ORCID: https://orcid.org/0000-0002-7306-6815)
- Elhoussine Azroul (ORCID: https://orcid.org/0000-0002-2396-4844)
- Maria Alessandra Ragusa (ORCID: https://orcid.org/0000-0001-6611-6370)
- N. Kamali
Institutions
- Industrial University of Ho Chi Minh City (VN)
- University of Catania (IT)
- Sidi Mohamed Ben Abdellah University (MA)
Publication Details
- Journal
- Zeitschrift für Analysis und ihre Anwendungen
- Published
- 2024-10-28
- DOI
- https://doi.org/10.4171/zaa/1780
- Citations
- 2
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 1.95
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"