Back to Search
Start Over
Some notes on functions of least Ws,1-fractional seminorm
- Source :
- Bruno Pini Mathematical Analysis Seminar, Vol 14, Iss 1, Pp 38-57 (2023)
- Publication Year :
- 2023
- Publisher :
- University of Bologna, 2023.
-
Abstract
- In this survey we discuss some existence and asymptotic results, originally obtained in [4,3], for functions of least Ws,1-fractional seminorm. We present the connection between these functions and nonlocal minimal surfaces, leveraging this relation to build a function of least fractional seminorm. We further prove that a function of least fractional seminorm is the limit for p → 1 of the sequence of minimizers of the Ws,p-energy. Additionally, we consider the fractional 1-Laplace operator and study the equivalence between weak solutions and functions of least fractional seminorm.
Details
- Language :
- English, Italian
- ISSN :
- 22402829
- Volume :
- 14
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Bruno Pini Mathematical Analysis Seminar
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8e20ff4fb9243e886ad946a19532160
- Document Type :
- article
- Full Text :
- https://doi.org/10.6092/issn.2240-2829/17270