Abstract
In this paper, we consider homeomorphic mappings defined by p-capacity inequalities in domains of Rn. In the case p = n − 1, we prove the Lipschitz continuity of such mappings, i.e., the continuity that extends the result due to F. W. Gehring.
| Original language | English |
|---|---|
| Pages (from-to) | 129-135 |
| Number of pages | 7 |
| Journal | Transactions of A. Razmadze Mathematical Institute |
| Volume | 178 |
| Issue number | 1 |
| State | Published - 1 Apr 2024 |
Keywords
- Quasiconformal mappings
- Sobolev spaces
ASJC Scopus subject areas
- General Mathematics