Global fractional Calderón–Zygmund-type regularity
We obtain a global fractional Calderón–Zygmund-type regularity theory for the fractional Poisson problem. More precisely, for [Formula: see text], [Formula: see text], a bounded domain with boundary [Formula: see text] of class [Formula: see text], [Formula: see text] and [Formula: see text] for some [Formula: see text], we consider the problem [Formula: see text] and, according to [Formula: see text], we find the values of [Formula: see text] and of [Formula: see text] such that [Formula: see text] and such that [Formula: see text].
Authors
- Tommaso Leonori (ORCID: https://orcid.org/0000-0002-0848-4463)
- Abdelbadie Younes (ORCID: https://orcid.org/0000-0001-6236-2769)
- Boumediene Abdellaoui (ORCID: https://orcid.org/0000-0001-8232-1403)
- Antonio J. Fernández (ORCID: https://orcid.org/0000-0002-2873-2903)
Institutions
- Universidad Nacional de Educación a Distancia (ES)
- University of Abou Bekr Belkaïd (DZ)
- École Nationale Supérieure d'Informatique (DZ)
- Institute of Mathematical Sciences (ES)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Journal
- Communications in Contemporary Mathematics
- Published
- 2024-10-17
- DOI
- https://doi.org/10.1142/s021919972550004x
- Citations
- 1
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.97