TY - JOUR

T1 - Mappings of finite distortion

T2 - A new proof for discreteness and openness

AU - Onninen, Jani

AU - Zhong, Xiao

PY - 2008/10/1

Y1 - 2008/10/1

N2 - 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.

AB - 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.

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U2 - 10.1017/S0308210506000825

DO - 10.1017/S0308210506000825

M3 - Article

AN - SCOPUS:53849084150

VL - 138

SP - 1097

EP - 1102

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 5

ER -