Regularizing Effects for Some Nonlocal Elliptic Problems
We study the regularizing effect of the zero order term in some elliptic problems, which present in the principal part a nonlocal operator, i.e., the fractional Laplacian operator. We prove the existence of bounded energy solutions, even if the data are assumed to be very irregular.
Authors
- Ida de Bonis
Institutions
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Mathematics
- Published
- 2025-02-20
- DOI
- https://doi.org/10.3390/math13050687
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni