Roberta Musina, Alexander I. Nazarov
Published 2014-08-15, updated 2015-05-24Version 2
The present paper is the natural evolution of arXiv:1308.3606. For $s>-1$ we compare two natural types of fractional Laplacians $(-\Delta)^s$, namely, the "Navier" and the "Dirichlet" ones. As a main tool, we give the "dual" Caffarelli--Silvestre and Stinga--Torrea variational characterizations of these operators for $s\in(-1,0)$.
Comments: 9 pages; some references are added; a small generalization is given
On fractional Laplacians
Variety of fractional Laplacians
On fractional Laplacians -- 3
![QR code for arXiv:1408.3568 [math.AP]](http://oss.arxitics.com/images/favicon.svg)