We give a new and elementary proof of the known result: a non-constant mapping of finite distortion f:ω ⊂ ℝn → ℝn is discrete and open, provided that its distortion function K ∈ L1loc(Ω) if n = 2 and that K ∈ Lploc (Ω) for some p > n - 1 if n ≥ 3.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|State||Published - Oct 1 2008|
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