English

A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points

Analysis of PDEs 2016-08-26 v2 Functional Analysis

Abstract

We study a sharp fractional Moser-Trudinger type inequality in dimension 1, its compactness properties and the critical points of a functional associeted to the inequality.

Keywords

Cite

@article{arxiv.1504.04862,
  title  = {A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points},
  author = {Stefano Iula and Ali Maalaoui and Luca Martinazzi},
  journal= {arXiv preprint arXiv:1504.04862},
  year   = {2016}
}

Comments

34 pages. In this second version some typos have been corrected and the bibliography has been updates and slightly expanded