Abstract
A power estimate of the area of the image of a disk for regular homeomorphisms possessing the Luzin N-property is obtained in terms of the p-angular dilation for p > 2. The result generalizes the known estimate by M.A. Lavrent’ev. A number of theorems on the asymptotic behavior of regular homeomorphic solutions of the nonlinear Beltrami equation are proved, and an extreme analog of the Ikoma–Schwartz lemma is formulated.
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