English

A Fourier approach to the profile decomposition in Orlicz spaces

Analysis of PDEs 2013-12-05 v1

Abstract

This paper is devoted to the characterization of the lack of compactness of the Sobolev embedding of HN(R2N)H^N(R^{2N}) into the Orlicz space using Fourier analysis.

Keywords

Cite

@article{arxiv.1312.1124,
  title  = {A Fourier approach to the profile decomposition in Orlicz spaces},
  author = {Hajer Bahouri and Galina Perelman},
  journal= {arXiv preprint arXiv:1312.1124},
  year   = {2013}
}