On the weak limit of mappings with finite distortion

Yan, Baisheng

doi:10.1090/S0002-9939-00-05435-6

On the weak limit of mappings with finite distortion
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by Baisheng Yan

Proc. Amer. Math. Soc. 128 (2000), 3335-3340

DOI: https://doi.org/10.1090/S0002-9939-00-05435-6

Published electronically: May 11, 2000

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Abstract:

We give a new proof that the limit of a weakly convergent sequence of mappings with finite distortion also has finite distortion. The result has been recently proved by Gehring and Iwaniec using the biting convergence of Jacobians. We present a different proof using simply the lower semi-continuity of quasiconvex functionals.

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