English

On fractional Laplacians -- 3

Analysis of PDEs 2016-12-21 v1

Abstract

We investigate the role of the noncompact group of dilations in Rn\mathbb R^n on the difference of the quadratic forms associated to the fractional Dirichlet and Navier Laplacians. Then we apply our results to study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving the Navier-Laplacian.

Keywords

Cite

@article{arxiv.1503.00271,
  title  = {On fractional Laplacians -- 3},
  author = {Roberta Musina and Alexander I. Nazarov},
  journal= {arXiv preprint arXiv:1503.00271},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-06-22T08:40:58.487Z