On the Weak Limit of Mappings with Finite Distortion
نویسنده
چکیده
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.
منابع مشابه
The Limit of Mappings with Finite Distortion
We show here that the limit mapping f of a weakly convergent sequence of mappings fν with finite distortion also has finite distortion and give several dimension free estimates for the dilatation of f . Our arguments are based on the weak continuity of the Jacobian determinants and the concept of polyconvexity.
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تاریخ انتشار 2000