English

Non-critical dimensions for critical problems involving fractional Laplacians

Analysis of PDEs 2013-11-08 v1

Abstract

We study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving Dirichlet-Laplacian of arbitrary real order m>0m>0.

Keywords

Cite

@article{arxiv.1311.1788,
  title  = {Non-critical dimensions for critical problems involving fractional Laplacians},
  author = {Roberta Musina and Alexander I. Nazarov},
  journal= {arXiv preprint arXiv:1311.1788},
  year   = {2013}
}

Comments

12 pages