A comparison method for the fractional Laplacian and applications
We study the boundary behavior of solutions to fractional Laplacian. As the first result, the isolation of the first eigenvalue of the fractional Lane-Emden equation is proved in the bounded open sets with Wiener regular boundary. Then, a generalized Hopf's lemma and a global boundary Harnack inequality are proved for the fractional Laplacian.
Authors
- Alireza Manzari Tavakoli (ORCID: https://orcid.org/0000-0002-1573-7748)
- Alireza Ataei
Institutions
- Uppsala University (SE)
- KTH Royal Institute of Technology (SE)
Publication Details
- Journal
- Advances in Mathematics
- Published
- 2024-08-29
- DOI
- https://doi.org/10.1016/j.aim.2024.109901
- Citations
- 2
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.72
Funders
- Vetenskapsrådet
- Uppsala Universitet