English

A note on the sublinear Sobolev inequality

Analysis of PDEs 2016-05-12 v3 Functional Analysis

Abstract

In this note we show that the classical Sobolev inequality cannot in unrestricted form hold for exponents p(0,1)p \in (0,1).

Keywords

Cite

@article{arxiv.1508.01237,
  title  = {A note on the sublinear Sobolev inequality},
  author = {Daniel Spector},
  journal= {arXiv preprint arXiv:1508.01237},
  year   = {2016}
}

Comments

5 pages. This paper replaces the first version, giving a counterexample to such an inequality

R2 v1 2026-06-22T10:27:27.764Z