English

A necessary condition on domains for optimal Orlicz-Sobolev embeddings

Functional Analysis 2019-04-16 v2

Abstract

We provide a necessary condition on the regularity of domains for the optimal embeddings of first order (and higher order) Orlicz-Sobolev spaces into Orlicz spaces in the sense of \cite{Cia96} (and \cite{Cia06}).

Keywords

Cite

@article{arxiv.1903.02808,
  title  = {A necessary condition on domains for optimal Orlicz-Sobolev embeddings},
  author = {Nijjwal Karak},
  journal= {arXiv preprint arXiv:1903.02808},
  year   = {2019}
}

Comments

10 pages, Funding agency's name has been updated