English

Capacity inequalities and Lipschitz continuity of mappings

Analysis of PDEs 2023-11-20 v1

Abstract

In this paper we consider topological mappings defined by pp-capacity inequalities in domains of Rn\mathbb R^n. In the case p=n1p=n-1 we prove the Lipschitz continuity of such mappings, that extends the result by F.~W.~Gehring.

Keywords

Cite

@article{arxiv.2302.13302,
  title  = {Capacity inequalities and Lipschitz continuity of mappings},
  author = {Ruslan Salimov and Evgeny Sevost'yanov and Alexander Ukhlov},
  journal= {arXiv preprint arXiv:2302.13302},
  year   = {2023}
}

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8 pages