Mappings of finite distortion: Capacity and modulus inequalities

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Open discrete mappings having local ACL n inverses (2010, methodology): “The methods and the techniques of the modular inequalities (a) and (b) were also later considered in [3,19–22] for mappings of finite distortion and satisfying condition (A), and in [3] is shown that (a) and (b) hold in this class of mappings.”
Moduli in Modern Mapping Theory (2008, unknown): “3 in [20].”
On the theory of mappings with finite area distortion (2008, background): “for every path family in ›. If KO (f) = ess supKO(x;f) < 1 and E is a Borel set with N(f;E) < 1, then we have from (3.2) the usual form of the KOiinequality:”
Regularity of the Inverse of a Planar Sobolev Homeomorphism (2006, background): “In [ 23 ], it was further shown that the regularity assumption f ∈ W 1,2 loc (�, R 2 ) can be slightly relaxed, say, to |Df | 2 log −1 (e +| Df |) ∈ L 1 . These results were”