On Weak Solutions to Parabolic Problem Involving the Fractional <i>p</i> -Laplacian via Young Measures
Abstract In this paper, we study the local existence of weak solutions for parabolic problem involving the fractional p -Laplacian. Our technique is based on the Galerkin method combined with the theory of Young measures. In addition, an example is given to illustrate the main results.
Authors
- Farah Balaadich (ORCID: https://orcid.org/0000-0001-9722-7954)
- Jalila El Ghordaf
- Brahim El Boukari (ORCID: https://orcid.org/0000-0001-5509-7100)
- Ihya Talibi (ORCID: https://orcid.org/0000-0002-7583-0768)
Institutions
- Université Sultan Moulay Slimane (MA)
Publication Details
- Journal
- Annales Mathematicae Silesianae
- Published
- 2024-11-15
- DOI
- https://doi.org/10.2478/amsil-2024-0021
- Citations
- 2
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 1.95