On quasiplanes in Euclidean spaces

Martio, O.; Miklyukov, V.; Vuorinen, M.

doi:10.1090/S0002-9939-07-09117-4

On quasiplanes in Euclidean spaces
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by O. Martio, V. M. Miklyukov and M. Vuorinen PDF

Proc. Amer. Math. Soc. 135 (2007), 2433-2442 Request permission

Abstract:

A variational inequality for the images of $k$-dimensional hyperplanes under quasiconformal maps of the $n$-dimensional Euclidean space is proved when $1\le k\le n-2.$

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