Mappings of finite distortion: condition N

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Mappings of finite distortion: Capacity and modulus inequalities (2006, background): “5] (also see [12], [13]) and [15, Theorem 1.”
Toward the theory of ring Q-homeomophisms (2008, methodology): “The theory of ring Q-homeomorphisms is applicable to various classes of mappings with finite distortion, intensively investigated in many recent works, see, e.g., [3], [8], [12], [15], [16], [19], [ 20 ], [21], [25], [28] and [29].”
Mappings of finite distortion: The zero set of the Jacobian (2003, background): “The recent works [3], [8], [1], [10], [15], [16], [11], [9] have established a rich theory of mappings of finite distortion under relaxed conditions on the distortion function K that do not require K to be bounded.”
Regularity of the inverse of a Sobolev homeomorphism in space (2006, background): “The usual constructions of the type in [8], [12] and [4] based on “cubical” Cantor constructions are not suitable for us.”
Mappings of finite distortion: Sharp Orlicz-conditions (2003, methodology): “1 were established in [6], [9] and [10] for Ψ(t) = λt, λ > 0.”
Extremal Mappings of Finite Distortion (2005, unknown): “This condition has been established in [17] for mappings of exponentially integrable distortion, completing the proof of Theorem 12.”