English

The concentration-compactness principle for fractional Orlicz-Sobolev spaces

Analysis of PDEs 2023-12-08 v1

Abstract

In this paper, we delve into the well-known concentration-compactness principle in fractional Orlicz-Sobolev spaces, and we apply it to establish the existence of a weak solution for a critical elliptic problem involving the fractional gg-Laplacian.

Keywords

Cite

@article{arxiv.2312.03923,
  title  = {The concentration-compactness principle for fractional Orlicz-Sobolev spaces},
  author = {Sabri Bahrouni and Olimpio Miyagaki},
  journal= {arXiv preprint arXiv:2312.03923},
  year   = {2023}
}