English

The concentration-compactness principle for Orlicz spaces and applications

Analysis of PDEs 2023-10-20 v2

Abstract

In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to Orlicz spaces. As an application we show an existence result to some critical elliptic problem with nonstandard growth.

Keywords

Cite

@article{arxiv.2111.13199,
  title  = {The concentration-compactness principle for Orlicz spaces and applications},
  author = {Julián Fernández Bonder and Analía Silva},
  journal= {arXiv preprint arXiv:2111.13199},
  year   = {2023}
}

Comments

In this revision we have modified and extended our application to the solvability of critical-type elliptic problems

R2 v1 2026-06-24T07:52:22.947Z